G. Randolph Mayes
G. Randolph Mayes
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Final Module 7 review
Review of module 7 proof strategies
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วีดีโอ

Worldviews Chapter 21
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Worldviews Chapter 21
WorldviewsChapter16
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Worldviews Chapter 16
Advice for passing module 3 test
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Advice for passing module 3 test.
Advice for passing module 2 test
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Advice for passing module 2 test
Module 1 test advice
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Advice for taking Module 1 test
Course Orientation Summer 2016
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Course Orientation Summer 2016
Quantifier exchange
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Quantifier exchange rules
Existential elimination
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Existential elimination
Existential introduction
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Existential introduction
Universal introduction
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Predicate logic universal introduction
Predicate calculus: Universal Elimination
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Predicate calculus: Universal Elimination
Identity
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Identity in predicate logic
The semantics of predicate logic
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The semantics of predicate logic
Vocabulary and formation rules of predicate logic
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Vocabulary and formation rules of predicate logic
Predicate logic propositions with multiple quantifiers and variables
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Predicate logic propositions with multiple quantifiers and variables
Predicate logic: variables and quantifiers
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Predicate logic: variables and quantifiers
Predicate logic 1: Names and predicates
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Predicate logic 1: Names and predicates
Substitution instances
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Substitution instances
Equivalences ASS and DIST
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Equivalences ASS and DIST
Theorems and equivalences: TRANS, ~-_, MI
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Theorems and equivalences: TRANS, ~-_, MI
De Morgan's equivalences
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De Morgan's equivalences
Logical equivalence 1
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Logical equivalence 1
Propositional calculus derived rules
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Propositional calculus derived rules
~I homework review
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~I homework review
Propositional Calculus Negation Introduction
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Propositional Calculus Negation Introduction
Propositional calculus conditional introduction
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Propositional calculus conditional introduction
How to write a philosophical analysis
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How to write a philosophical analysis
Propositional Calculus 2
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Propositional Calculus 2
Propositional calculus 1
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Propositional calculus 1

ความคิดเห็น

  • @bola98
    @bola98 4 ปีที่แล้ว

    With consideration to comedy aside, the perfect solids model and the music make this the coolest introduction yet!

  • @alexhardt7056
    @alexhardt7056 7 ปีที่แล้ว

    Hey, I think your table at the ~10:20 mark, last row, 2nd column, should be "∃x∀yL(y,x)" not "∃x∀yL(x,y)" (the "x" and "y" passed into the "L" function are swapped). Your slide at the ~9:37 mark, I believe, shows it the right way. If that is not the correct fix, then help me understand how rows 3 and 6 in the 2nd column are the same on the table at the ~10:20 mark. Thank you very much for sharing this video, it has helped me get unstuck with some concepts, specifically the impact of changing the order of quantifiers.

    • @grandolphmayes
      @grandolphmayes 7 ปีที่แล้ว

      Yes, you are absolutely right about that. Great catch. I will drop in annotation in to correct that until I have time to redo the vid.

    • @grandolphmayes
      @grandolphmayes 7 ปีที่แล้ว

      Actually I just saw that TH-cam has killed annotations, so your comment will have to do for now.

  • @manifest_it_man
    @manifest_it_man 7 ปีที่แล้ว

    really sucks that I just found your channel the night before my final exam on Predicate Calculus... thanks a lot, I really like the way you explain things.

  • @Zumwalt.17
    @Zumwalt.17 7 ปีที่แล้ว

    I know you put this up almost a year ago but I need an explanation of the slide @19min55sec. Where does the (As) come from? Is that just a typo for (Es)? If so then is #8 also a typo since (As)=(~~As)? I am also confused about the right column of .... variables? What does A stand for? H? 1,4->E?

    • @Zumwalt.17
      @Zumwalt.17 7 ปีที่แล้ว

      I would also like to say this video really helped me as well. Thanks!

    • @grandolphmayes
      @grandolphmayes 7 ปีที่แล้ว

      Hi maybe what's confusing is that we use A in two ways here, once to designate the assumptions and the other to just indicate a one-place predicate. But otherwise I don't detect a typo. Lines 7 and 8 are just following in a standard way. The E's in the right hand column refer to the rule of conditional elimination, not a predicate.

  • @NoCaminhoDele
    @NoCaminhoDele 7 ปีที่แล้ว

    At 6:27, if line 2 had ∀xFx instead of∀xFa, there wouldn't be an error on line 6. I think that confuses the issue because the introduction of Fa on line 3 would appear to be within an undischarged hypothesis, making it invalid. However, that's not the case. You're explanation seems to be ambiguous because you didn't make it clear that ∀xI (the introduction of a) after the hypothesis' initial assumption is not a violation of the rule.

    • @grandolphmayes
      @grandolphmayes 7 ปีที่แล้ว

      Yes, you are completely right about this. The conclusion isn't a wff. And if we make it into a wff. by inserting a variable, then the mistake goes away. Thanks for pointing that out. I'll drop in an annotation to that effect.

  • @mrsloth-qw8pt
    @mrsloth-qw8pt 7 ปีที่แล้ว

    Excellent video, Mr. Mayes.

  • @icedogs16
    @icedogs16 7 ปีที่แล้ว

    Thanks for the great explanation!

  • @em4me46
    @em4me46 7 ปีที่แล้ว

    Your videos are incredibly thorough and helpful, thank you!

  • @markzender4386
    @markzender4386 8 ปีที่แล้ว

    nice video

  • @James-eg7jd
    @James-eg7jd 8 ปีที่แล้ว

    At 12.00, could we use disjunctive syllogism on lines 3,6 to get ∀z~Gza as an alternative route to the proof instead of instantiating first? Thanks!

    • @grandolphmayes
      @grandolphmayes 8 ปีที่แล้ว

      +James Dow Hi, no you have to work on the main operator. You could do it if the subformulas on line 6 each had their own quantifiers.

  • @James-eg7jd
    @James-eg7jd 8 ปีที่แล้ว

    at 6.27, isn't it also a mistake to hypothesize "For all x, Fa" line 2. This is not a wff.

    • @grandolphmayes
      @grandolphmayes 8 ปีที่แล้ว

      +James Dow Yeah, good point James, thanks for pointing that out.

    • @markzender4386
      @markzender4386 8 ปีที่แล้ว

      +James Dow why isn't that a wff?

  • @James-eg7jd
    @James-eg7jd 8 ปีที่แล้ว

    At 25.26 there is a not-wff as an answer. It seems to make sense if "for all z" is ignored?

    • @grandolphmayes
      @grandolphmayes 8 ปีที่แล้ว

      +James Dow Thanks very much for pointing this out. I just put in a note.

  • @lilchamotamp221
    @lilchamotamp221 8 ปีที่แล้ว

    Are contradictory formulas also called, "WFF" well formed formulas?

    • @grandolphmayes
      @grandolphmayes 8 ปีที่แล้ว

      Hi, contradictory formulas are just formula that imply a contradiction. They will be wffs if they are well formed formulas. WFF just refers to whether it has been properly formed accoding to the formation rules. It is analagous to the question whethe an English sentence is grammatical.

  • @lilchamotamp221
    @lilchamotamp221 8 ปีที่แล้ว

    I should admit that you are giving me a free ticket to the University if I pass that class.. I really appreciate your support...I will keep track of all your videos. Keep explaining slowly and with all those little details that make it clear. By the way, can I post questions over the course ?? THANK YOU FOR THE SUPPORT MR. MAYES.

    • @grandolphmayes
      @grandolphmayes 8 ปีที่แล้ว

      Hi, yes, you are always free to ask, but I may not always be available to answer. Please remember that this is all based on a particular system. If you took a different class the notation and some of the rules will alnost certainly be different.

    • @lilchamotamp221
      @lilchamotamp221 8 ปีที่แล้ว

      I am taking symbolic reasoning Philosophy....

  • @pdengeras
    @pdengeras 8 ปีที่แล้ว

    Thanks. good, v good lessons

  • @stephensalay
    @stephensalay 8 ปีที่แล้ว

    Great lessons! Thank you for uploading! Predicate logic is foreign and new to me so having this as extra to my class notes is very helpful.

  • @RosesAndIvy
    @RosesAndIvy 8 ปีที่แล้ว

    Thanks, this video was helpful. I'm taking a class in logic and I'm really struggling with it. My teacher is bad at explaining things in simple terms, which you do very well. The 'book' that we use is written by the same teacher, so that doesn't help much. And unfortunately, we are supposed write out evaluations, in an even more formal way than was done in this video.

    • @grandolphmayes
      @grandolphmayes 8 ปีที่แล้ว

      +Renate vd Bent I'm glad it helped!

  • @MarcoMeerman
    @MarcoMeerman 9 ปีที่แล้ว

    Very helpfull, thank you!

  • @MarcoMeerman
    @MarcoMeerman 9 ปีที่แล้ว

    Which book are you referring to?

    • @grandolphmayes
      @grandolphmayes 9 ปีที่แล้ว

      Marco Meerman This is based on Nolt's system in the Schaum outline of logic.

  • @solalgaillard8303
    @solalgaillard8303 9 ปีที่แล้ว

    This was great although I wish there more AI and less AE problems at the end of the video. Thanks!

    • @grandolphmayes
      @grandolphmayes 9 ปีที่แล้ว

      ***** Good suggestion, thanks. You'll see more in the following videos and hopefully the solved homework problems will be helpful.

  • @solalgaillard8303
    @solalgaillard8303 9 ปีที่แล้ว

    This really helped me. Thank you so much!