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PHIL 347 Week 4 Discussion including Responses; Distinguishing Inductive and Deductive Reasoning

$10
Contributor
Mike Perry
Category
Philosophy
Course
PHIL 347 Critical Reasoning
Institute
Chamberlain
Pages
4

Week 4 Discussion: Distinguishing Inductive and Deductive Reasoning (Including Follow-ups) The Basic Structure of Deductive and Inductive ArgumentsClick on the following links to view argument examples: Link: Deductive Argument Example Link: Inductive ArgumentInitial Post Instructions For the initial post, address the following: Find and post examples of deductive and inductive arguments. For each example, evaluate its logical strength, using the concepts and ideas presented in the textbook readings, the lesson, and any other source you find that helps you to evaluate the validity (deductive) or strength (inductive) of the argument. You can use examples from the text, or you can find examples elsewhere. Editorials and opinion columns are a good source, as are letters to the editor. Blogs will also often be based on arguments. Use mapping and evaluative techniques to make sure it is an argument. Is it inductive or deductive? Explain why. Does it pass the tests of validity and strength? Explain. Follow-Up Post InstructionsRespond to at least two peers or one peer and the instructor. Further the dialogue by providing more information and clarification. Do you agree with their analysis – be very specific about why you agree or disagree. Writing Requirements Minimum of 3 posts (1 initial & 2 follow-up) Minimum of 2 sources cited (assigned readings/online lessons and an outside source) APA format for in-text citations and list of references Hello Class & Professor, With deductive reasoning, the conclusion is necessarily true if the premises are true (Facione & Gittens, 2016). With inductive reasoning, the conclusion might be true, and it has some support, but it may nonetheless be false (Facione & Gittens, 2016). Some would argue deductive reasoning is an important life skill. It allows you to take information from two or more statements and draw a logically sound conclusion (Facione & Gittens, 2016). If they're accurate, then the conclusion stands to be sound and accurate. Deductive Example: All birds have feathers (A). All robins are birds (B). Therefore, robins h

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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 948 and `products`.`deleted_at` is null limit 1
        430μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 948
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 948 and `product_categories`.`product_id` is not null
        320μsthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 949 limit 1
        310μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 949
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 949 and `products`.`deleted_at` is null limit 1
        810μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 949
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 949 and `product_categories`.`product_id` is not null
        550μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 949
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 950 limit 1
        310μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 950
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 950 and `products`.`deleted_at` is null limit 1
        340μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 950
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 950 and `product_categories`.`product_id` is not null
        280μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 950
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 951 limit 1
        310μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 951
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 951 and `products`.`deleted_at` is null limit 1
        340μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 951
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 951 and `product_categories`.`product_id` is not null
        340μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 951
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 952 limit 1
        390μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 952
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 952 and `products`.`deleted_at` is null limit 1
        440μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 952
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 952 and `product_categories`.`product_id` is not null
        300μsthesagf1_secgracustview.blade.php#278
        Bindings
        • 0: 952
        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 953 limit 1
        420μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 953
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 953 and `products`.`deleted_at` is null limit 1
        460μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 953
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 953 and `product_categories`.`product_id` is not null
        690μsthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 954 limit 1
        2.23msthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 954
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 954 and `products`.`deleted_at` is null limit 1
        730μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 954
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 954 and `product_categories`.`product_id` is not null
        2.3msthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.25msthesagf1_secgracustview.blade.php#249
        Bindings
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        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 956 and `products`.`deleted_at` is null limit 1
        1.09msthesagf1_secgracustview.blade.php#276
        Bindings
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 956 and `product_categories`.`product_id` is not null
        640μsthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        670μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 957
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 957 and `products`.`deleted_at` is null limit 1
        760μsthesagf1_secgracustview.blade.php#276
        Bindings
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 957 and `product_categories`.`product_id` is not null
        560μsthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        650μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 958
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 958 and `products`.`deleted_at` is null limit 1
        1.17msthesagf1_secgracustview.blade.php#276
        Bindings
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 958 and `product_categories`.`product_id` is not null
        1.12msthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.26msthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 959
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 959 and `products`.`deleted_at` is null limit 1
        770μsthesagf1_secgracustview.blade.php#276
        Bindings
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 959 and `product_categories`.`product_id` is not null
        1.52msthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        900μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 960
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 960 and `products`.`deleted_at` is null limit 1
        950μsthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 960
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 960 and `product_categories`.`product_id` is not null
        810μsthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_images` where `product_id` = 961 limit 1
        450μsthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 961
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `products` where `id` = 961 and `products`.`deleted_at` is null limit 1
        1.22msthesagf1_secgracustview.blade.php#276
        Bindings
        • 0: 961
        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 961 and `product_categories`.`product_id` is not null
        1.5msthesagf1_secgracustview.blade.php#278
        Bindings
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.97msthesagf1_secgracustview.blade.php#249
        Bindings
        • 0: 962
        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.54msthesagf1_secgracustview.blade.php#276
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        500μsthesagf1_secgracustview.blade.php#278
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        610μsthesagf1_secgracustview.blade.php#249
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        520μsthesagf1_secgracustview.blade.php#276
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        440μsthesagf1_secgracustview.blade.php#278
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        440μsthesagf1_secgracustview.blade.php#249
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        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        540μsthesagf1_secgracustview.blade.php#276
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 964 and `product_categories`.`product_id` is not null
        480μsthesagf1_secgracustview.blade.php#278
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 23. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        470μsthesagf1_secgracustview.blade.php#249
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        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • 19. vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.82msthesagf1_secgracustview.blade.php#276
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
      • select * from `product_categories` where `product_categories`.`product_id` = 965 and `product_categories`.`product_id` is not null
        6.37msthesagf1_secgracustview.blade.php#278
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        2.8msthesagf1_secgracustview.blade.php#249
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        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.55msthesagf1_secgracustview.blade.php#276
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        820μsthesagf1_secgracustview.blade.php#278
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        Backtrace
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        610μsthesagf1_secgracustview.blade.php#249
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        Backtrace
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.24msthesagf1_secgracustview.blade.php#276
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        Backtrace
        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        430μsthesagf1_secgracustview.blade.php#278
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        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        630μsthesagf1_secgracustview.blade.php#249
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        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        590μsthesagf1_secgracustview.blade.php#276
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        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        500μsthesagf1_secgracustview.blade.php#278
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        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        700μsthesagf1_secgracustview.blade.php#276
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        • 16. view::product.view:276
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        • 20. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        780μsthesagf1_secgracustview.blade.php#278
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        Backtrace
        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 24. vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:72
        • 25. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        1.71msthesagf1_secgracustview.blade.php#249
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        Backtrace
        • 16. view::product.view:249
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 21. vendor/laravel/framework/src/Illuminate/View/View.php:207
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        690μsthesagf1_secgracustview.blade.php#276
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        • 16. view::product.view:276
        • 18. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 20. view::product.view:278
        • 22. vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
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        • 15. app/Models/Pages.php:18
        • 16. app/Providers/AppServiceProvider.php:21
        • 17. vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:162
        • 21. vendor/laravel/framework/src/Illuminate/View/Concerns/ManagesEvents.php:177
        • 22. vendor/laravel/framework/src/Illuminate/View/View.php:188
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        580μsthesagf1_secgracust
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        930μsthesagf1_secgracust
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        400μsthesagf1_secgracust
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        870μsthesagf1_secgracust
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        510μsthesagf1_secgracust
      App\Models\Product
      30Product.php#?
      App\Models\ProductImage
      30ProductImage.php#?
      App\Models\ProductCategory
      30ProductCategory.php#?
      App\Models\Pages
      20Pages.php#?
      App\Models\SiteSetting
      5SiteSetting.php#?
      App\Models\Category
      2Category.php#?
      App\Models\Api\ProductFiles
      2ProductFiles.php#?
          _token
          GoxrNHClTs2nbwg4VfGBUhSMn6U7HK9Cb0WsVtzY
          _previous
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          PHPDEBUGBAR_STACK_DATA
          []
          telescope
          View in Telescope
          path_info
          /product/phil-347-week-4-discussion-including-responses-distinguishing-inductive-and-deductive-reasoning-1
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:17 [ "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "accept-encoding" => array:1 [ 0 => "gzip, deflate, br, zstd" ] "content-length" => array:1 [ 0 => "0" ] "host" => array:1 [ 0 => "securegrades.com" ] "pragma" => array:1 [ 0 => "no-cache" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "cache-control" => array:1 [ 0 => "no-cache" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "priority" => array:1 [ 0 => "u=0, i" ] "x-https" => array:1 [ 0 => "1" ] ]
          request_cookies
          []
          
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