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xorshammer.com | ||
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www.logicmatters.net
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| | | | | A standard menu for a first mathematical logic course might be something like this: (1) A treatment of the syntax and semantics of FOL, presenting a proof system or two, leading up to a proof of a Gödel's completeness theorem (and then a glance at e.g. the compactness theorem and some initial implications). (2) An [...] | |
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unstableontology.com
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| | | | | (note: one may find the embedded LaTeX more readable on LessWrong) The Löwenheim-Skolem theorem implies, among other things, that any first-order theory whose symbols are countable, and which has an infinite model, has a countably infinite model. This means that, in attempting to refer to uncountably infinite structures (such as in set theory), one "may... | |
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billwadge.com
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| | | | | The famous mathematician Kurt Gödel proved two "incompleteness" theorems. This is their story. By the 1930s logicians, especially Tarski, had figured out the semantics of predicate logic. Tarski described what exactly was an 'interpretation' and what it meant for a formula to be true in an interpretation. Briefly, an interpretation is a nonempty set (the... | |
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retrorpg.wordpress.com
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| | | Iron Age in Europe: Hanseatic League, N. Europe The Iron Age began in Europe about 1100 BCE, in the middle of the period. The Hanseatic League was an alliance of trading cities, their merchants and guilds that existed during the 13th to the 17th centuries C.E. in Northern Europe and into the Baltic Sea area.The... | ||
