8.2 Predicate Logic: Using the Rules of Inference

Professor Thorsby explains how to use the rules of inference in predicate logic using the the Universal Generalization, Universal Instantiation, Existential Generalization, and Existential Instatiation rules.

Пікірлер: 39

  • @dt-gamer4021
    @dt-gamer40214 ай бұрын

    From 100 level - 300 level, wednesday 13th of March 2024 will be the day I will be writing my last symbolic logic exam in Philosophy department, university of Lagos, Nigeria. All thanks to you Prof. Mark Thorbsy for making symbolic logic easy for me all through the years✨🙇🏾‍♂️😮‍💨

  • @ShaneFolden
    @ShaneFolden5 жыл бұрын

    Mr. Thorsby, you have completely saved me from my terrible logic professor, thank you so much

  • @lisarobertson630
    @lisarobertson63010 жыл бұрын

    It's so helpful to just hear/see another way of explaining the rules and how to approach the proofs. And it's especially helpful for me since we are using this same book. Thank you!

  • @cameronjones8648
    @cameronjones86489 жыл бұрын

    Typo @ 19:08 the conclusion is (x)(Px -> Cx)

  • @mrguysnailz4907

    @mrguysnailz4907

    8 жыл бұрын

    +Cameron Jones bless you, I came right to the comments looking for something to prove I'm not mad

  • @stevenf5902

    @stevenf5902

    3 жыл бұрын

    I noticed that too! Phew!

  • @thomassomerville198
    @thomassomerville19810 жыл бұрын

    You the man Thorsby

  • @TomideAdeleke
    @TomideAdeleke9 жыл бұрын

    dude, you made this sound not as complicated as my professor made it

  • @CandidGestures
    @CandidGestures8 жыл бұрын

    This was SO helpful for my final, thank you!

  • @naharulhayat
    @naharulhayat6 жыл бұрын

    this is a gem....thank you...thank you so much

  • @brendanvega-shoemaker6438
    @brendanvega-shoemaker64383 жыл бұрын

    Still helpful in 2021

  • @EightTwoFourWeddingStudios
    @EightTwoFourWeddingStudios10 жыл бұрын

    very helpful lecture. glad i found this video. you make things alot more understandable then my professor. keep up the good work :)

  • @Garb0e
    @Garb0e11 жыл бұрын

    Great lecture, thank you!

  • @madeachanneljusttocomment2632
    @madeachanneljusttocomment26328 жыл бұрын

    Thank you so much for this it helped a lot

  • @francescopiazza4882
    @francescopiazza48824 жыл бұрын

    Great lesson!

  • @israali5414
    @israali54147 жыл бұрын

    thaaannnnnnnnkkk yyooouuuu sooooooooooo mcchhh for this video. it was of great help. this will help me score full.❤

  • @darianjh722
    @darianjh72210 жыл бұрын

    You are amazing!!!

  • @PhilosophySama
    @PhilosophySama3 жыл бұрын

    You’re the man !!!

  • @Scurvied
    @Scurvied10 жыл бұрын

    Your psychiatrist/doctor/college grad example confused me a bit since you wrote (x)(Px->Dx) in the conclusion instead of (x)(Px->Cx)

  • @natashaoliveira1293
    @natashaoliveira12939 жыл бұрын

    can someone explain how he used constructive dilemma in example #9?

  • @filipalaureano1868
    @filipalaureano18688 жыл бұрын

    What's the difference between a constant and a variable? How do I distinguish them?

  • @kevinsweeney2809
    @kevinsweeney28096 жыл бұрын

    Thanks!!

  • @bobbyjones8938
    @bobbyjones89389 жыл бұрын

    How come you don't use universal quantifier simple, you just got x

  • @sanomi4492
    @sanomi44926 жыл бұрын

    Great video. But how can we recognize the scope of qualifiers. Like Q12, ∃x Ax → ∀x(Bx → Cx), why doesn't ∃ cover the first arrow? In short, why is ∃x( Ax )→ ∀x(Bx → Cx) correct instead of ∃x( Ax → ∀x(Bx → Cx) )?

  • @Babyssx_breath
    @Babyssx_breath9 жыл бұрын

    Can you do a video on invalidity ( predicate logic )

  • @anikethinge5904
    @anikethinge59046 жыл бұрын

    lavang elaichi..tuya maichi

  • @maxpercer7119
    @maxpercer71192 жыл бұрын

    28:10 instead of calling the constant implied by Ex Fx a 'mechanical device' it might be better to call it an auxiliary constant, since the existential instantiation gives the (previously not used) constant an auxiliary or perfunctory (stand-in) role. The referent of this auxiliary constant is a real thing, though we may not be able to pinpoint what or who exactly it is. Whatever it is, it exists and we call it 'a'. But i wonder how the axioms of predicate logic actually allow for this, since in a given model the constants refer to specific fixed objects. The constant 'a' refers to some specific individual or object, it is not available as a 'constant placeholder' so to speak. I guess you could make a 'without loss of generality' meta-logical argument - ignore what 'a' previously referred to and use it now to label the referent of Ex Fx.

  • @draspotnuk
    @draspotnuk4 жыл бұрын

    how do you prove whether something is wrong, or the argument is invalid? I've been having a hard time grasping this with PL.

  • @agatau8190
    @agatau81905 жыл бұрын

    Dziękuję

  • @sallytamer90
    @sallytamer9011 жыл бұрын

    prof. Mark can you please do # 6 in the homework because i tried to do it and i got stuck after line 4 . thanks

  • @JohnnieCYP
    @JohnnieCYP5 жыл бұрын

    Oh, Hi Mark!

  • @0cards0

    @0cards0

    5 жыл бұрын

    what does he say at 35:05 ? "you can never instantiate an..?"

  • @learnwithsid2044
    @learnwithsid20446 жыл бұрын

    Prove that ~ B → ~ (A and (A → B)) by Rules of inference

  • @Austin_Schulz
    @Austin_Schulz8 жыл бұрын

    You really didn't have to instantiate twice for #9. Rather, it can look like this: 1. (x)(Ax>Bx) 2. ~Bm / (3x)~Ax 3. Am>Bm (1 UI) 4. ~Am (2,3 MT) 5. (3x)~Ax (4 EG)

  • @mrguysnailz4907

    @mrguysnailz4907

    8 жыл бұрын

    +Papa Schulz your profile pic makes serious comments coming from you strangely hilarious.

  • @Austin_Schulz

    @Austin_Schulz

    8 жыл бұрын

    MrGuySnailz Right back atcha.

  • @mrguysnailz4907

    @mrguysnailz4907

    8 жыл бұрын

    I guess :^)

  • @francescopiazza4882
    @francescopiazza48824 жыл бұрын

    36:17 clearly invalid...