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Archive for the ‘Logic’ Category

You and your friend are in Lolitaville in search of Vladimir Nabokov’s recently released and incomplete novel, The Original of Laura, and happen upon two bookstores: R and L. You know without a doubt that the sole copy of Laura in Lolitaville is in one (but only one) of the two bookstores, but are unsure [...]

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Do I contradict myself? Very well, then I contradict myself, I am large, I contain multitudes- Walt Whitman
 

Dialetheists, notably Graham Priest and, apparently, Walt Whitman, contend we may, under certain circumstances, ascribe truth to contradictions. A dialetheia is by definition a proposition, p, that when conjoined to its negation, ~p, produces a true evaluation, such that [...]

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[ADMINISTRATIVE NOTE: MOVING TO THE FRONT (FROM AUGUST 15)]
Epistemic agents claim to know that-P within a context of competing alternative propositions, {A1, A2… An}, all of which would be as equally consistent with the facts as P, but necessarily exclude P, such that:
If some one member of {A1, A2… An} were true, then that-P would [...]

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Rajeev Goré of Australia National University gives a very approachable introduction to propositional modal logic in this video lecture here. It’s a nice, non-technical exposition of the relationship of syntax, semantics and derivation calculus for modal logic. Particularly interesting (and convincing!) is Goré’s assertion that Kripke frames can be intuitively understood in terms of graph [...]

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Congratulations to the students whose papers have been accepted for presentation at the 12th Annual Northeast Florida Student Philosophy Conference at UNF on February 7th:
“How to Motivate the Maxim that ‘Ought Implies Can’ to Defend the Principle of Alternate Possibilities”
Sean Armil (University of Florida)
“On the Limitations of Formal Methods”
Wataru Asanuma (Florida State University)
“A Defense of [...]

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David Hume, in his An Inquiry Concerning Human Understanding (1748), first identified the difficulty of rationally justifying future predictions, which has come to be known as the Problem of Induction. He pointed out that since future predictions are neither statements of experience nor logically necessary consequences of such statements, their validity lies in the regularity [...]

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Looks like you can watch the whole film, “Wittgenstein,” here.

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… a colloquium featuring Mark Colyvan (University of Sydney) at the University of Miami, Friday, May 11th.
- Rico Vitz

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… is underway at the University of Florida. Details are available here.
- Rico Vitz

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… a grad student conference on the epistemology and ontology of logic will take place this fall at SUNY-Buffalo. The keynote speaker is Stewart Shapiro (Ohio State). Details and the CFP are available at the conference website.
- Rico Vitz

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Most who are familiar with any sort of basic incompleteness result (like Gödel’s First Incompleteness Theorem) for formal systems are acquainted with a proof of the theorem which precisely states the result that demonstrates a single sentence of the language of the system that is neither provable nor whose negation is provable – that is [...]

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The notion of possible worlds has proved incredibly frutiful in providing formal semantics for various systems of quantified modal logic. Perhaps so fruitful that philosophers interested in related issues such as semantics for the terms ‘necessarily’ and ‘possibly’ of natural language or in the metaphysical nature of necessity and possibility often make use of the [...]

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