Category
Logic & argument
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Boole, not Frege, deserves to be called the father of modern logic
I'll declare my bias at the start: George Boole was professor of mathematics at Queen's College here in Cork from 1849 until his death in 1864. There's a plaque. I walk past it. Philosophers tend to say that modern logic begins with…
Started by Siobhán KeaneReply first (no replies yet) -
Quine was right that even logic could be revised in the light of experience
Be gentle but not too gentle. We read the end of Quine's "Two Dogmas of Empiricism" (1951) in a seminar last week, and I think its most radical claim is correct: no statement is immune to revision, logic included. The picture: our…
Started by Ethan Mercer6 replies -
Logical pluralism is right, for the same reason statistical pluralism is
In data science the old fight between frequentist and Bayesian statistics has mostly cooled into pluralism: each is legitimate, they answer different questions, and a good analyst knows which to use when. I think logic is the same. Carnap said something like…
Started by Wanjiru Njenga5 replies -
Charity is for evaluating arguments, not for reporting what people actually said
I keep running into a problem with the principle of charity. In philosophy the rule is good: before you object, reconstruct the argument in its strongest form. An objection to a weak version proves nothing about the strong one. I accept that.…
Started by Sana Rizvi6 replies -
Vitaṇḍā is not always illegitimate: a critic with no thesis can still be doing philosophy
There is one problem in Nāgārjuna I have been chewing on for a long time. The Nyāya tradition calls vitaṇḍā illegitimate: one party only attacks and never defends a position, so they risk nothing and cannot be wrong. That seems fair as…
Started by Nima Tsering Gurung7 replies -
Logic is the one part of philosophy that settles questions, and the rest should take note
People like to say that philosophy never makes progress, that we're still arguing about the same questions as Plato. Logic is the counterexample. For two thousand years, Aristotle's syllogistic could not handle inferences involving relations. "Every horse is an animal, so every…
Started by Derek Hollis5 replies -
Predicate logic was discovered, not invented
Is logic discovered or invented? I want to argue that predicate logic is the strongest evidence that it is discovered. Consider the inference: every horse is an animal, so every horse's head is an animal's head. People knew for two thousand years…
Started by Tomasz Szewczak5 replies -
For ordinary speech, Aristotle was right: “All S are P” presupposes there are some S
Modern logic reads "All S are P" as "for anything, if it is S, it is P". If nothing is S, the statement comes out true automatically. So "All the unicorns in my garden are pink" is true, and so is "All…
Started by Oskar Nyberg6 replies