Dan Cryan
More books by Dan Cryan…
“I see nobody on the road,” said Alice. “I only wish I had such eyes,” the King remarked in a fretful tone. “To be able to see Nobody!”
― Introducing Logic: A Graphic Guide
― Introducing Logic: A Graphic Guide
“Discovering Tautologies Logical symbols may be used in combination, which can help us calculate the truth condition of any logically complex sentences. For example, “p v ¬p”, which produces the following Truth Table: When a formula only has T’s under it in a Truth Table, it means that it is true in all situations. The sentence “Either it is raining or it is not raining” cannot be false. Logicians call this a tautology. In a tautology, one truth follows from another of necessity only because of the logical syntax. So we know that any sentence with the same logical syntax will always be true. This”
― Introducing Logic: A Graphic Guide
― Introducing Logic: A Graphic Guide
“Russell’s point is that if the set is a member of itself, then by definition it can’t be a member of itself. But if it is not a member of itself, then it is a member of itself. So it is both a member of itself and not a member of itself. And that is a contradiction. This glaring mistake, allegedly, left Frege a broken man.”
― Introducing Logic: A Graphic Guide
― Introducing Logic: A Graphic Guide
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