Ayer on Frege and Russell: Section 2
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brb, apparently there's a video of a drunk bear on a tricycle
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of logic) is that mathematics is a symbolic based system that makes use of linguistic statements and transforms them into a sort of short hand, if you will. Logic is an indispensable tool or system of analysis that makes it easy to distinguish valid and invalid arguments from its constituent premises. And nowadays, it is more necessary than it has ever been! Best of luck in conquering your mathematical demons.
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@TheDavid2222 That would depend on what you define as "not very good at mathematics". If you are referring to agility in mental calculations (which I think you are), then as with any technical skill, it can be improved via arduous practice. And if you are referring to grasping of mathematical notation and concepts, then that too, through good explanation of concepts and practice, can be improved. One insight that made it easier for me to understand mathematical concepts (including those...
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I really was never very good at mathematics. I love continental philosophy, but I might not be too talented when it comes to analytic philosophy, or any philosophy involving an exceptional amount of mathematics. I guess it will just be an arduous undertaking for me. All I can really do is try not to get too discouraged. Anybody else share my disposition?
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Why is there a conspicuous cut/gap omission at a crucial point in this video at 5:25 , when Ayer seems about to state that "Frege's answer...(to Russell's challenge) also...." (and I assume he was to about to say), "....also was flawed" ??? Why was this crucial point omitted!!! These things happen so consistently in web media when it comes to any formidable challenge to math based logic!!! Russell finally admitted Hume's great argument against math based logic was never convincingly refuted.
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Hi flame0430. Thanks so much for posting all of these! I thought you'd like to know that there are several gaps--I mean, places where the text is cut off and/or garbled--in this part 2. At least, that's what I get when I view it. If others are having the same problem, perhaps you could repost it?
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Ayer: …Russell’s objection. However, it was show soon after Frege’s death by a Polish logician, Lesniewski, that Frege’s answer was untenable, a fact which may have been suspected by Frege himself, since he never recovered from Russell’s blow. After publication of Grundgesetze, as you said yourself earlier, he never wrote the third volume.
Magge: It must have seemed to him that his life’s work had been demolished.
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please do not adjust your (infinite) set!
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No. The set of all set doesn't exist. The best formulation you can achieve is: All that exists stands in some reference to all else that exists.
Every set negation MUST imply some object.
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@TheConsumption what about the concept the set of all set...is it a set?...if it is...has an extension or a new set?
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AreYouKiddinMelol 3 years ago 41
. If we ask of X if it is a member of itself, then it turns out that, if X is a member of itself, then it is not a member of itself and, if X is not a member of itself, then X is a member of itself. That is, X is a member of itself if and only if it is not a member of itself; which is a contradiction. Thus it looks like Frege is buggered.
Hope that helps. If not, you'll find loads of info by searching for "Russell's paradox".
TheConsumption 3 years ago 11