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Results tagged with lo.logic
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user 34060
first-order and higher-order logic, model theory, set theory, proof theory, computability theory, formal languages, definability, interplay of syntax and semantics, constructive logic, intuitionism, philosophical logic, modal logic, completeness, Gödel incompleteness, decidability, undecidability, theories of truth, truth revision, consistency.
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Basic results with three or more hypotheses
Let the set $S\subset R^d$ be (a) nonempty, (b) closed, and (c) with no isolated points. Then, $S$ is uncountable.
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Basic results with three or more hypotheses
This is P. Lévy's characterisation of Brownian motion: let $X=(X_t : t\geq 0)$ be a continuous martingale with quadratic variation equal to $t$; then $X$ is a Brownian motion.