On the futility of criticizing the neoclassical maximization hypothesis
... Tautologies are statements which are true by virtue of their logical form alone – that is, one cannot even conceive of how they could ever be false. For example, the statement ‘I am here or I am not here’ is true regardless of the meaning of the non-logical words ‘I’ or ‘here’. There is no conceivab ...
... Tautologies are statements which are true by virtue of their logical form alone – that is, one cannot even conceive of how they could ever be false. For example, the statement ‘I am here or I am not here’ is true regardless of the meaning of the non-logical words ‘I’ or ‘here’. There is no conceivab ...
Lecture Notes - Department of Mathematics
... wild sets are “illegal.” In particular, one cannot call the collection of all sets “a set”! (As you can see, we used an informal word “collection” to refer to all sets). (2) All mathematical knowledge of human civilization can be derived from these axioms. (3) In particular all mathematical notions ...
... wild sets are “illegal.” In particular, one cannot call the collection of all sets “a set”! (As you can see, we used an informal word “collection” to refer to all sets). (2) All mathematical knowledge of human civilization can be derived from these axioms. (3) In particular all mathematical notions ...
MATH 337 Cardinality
... and set theory cannot disprove the hypothesis. In 1963, Paul Cohen proved that the continuum hypothesis is independent of the axioms of set theory. In other words, set theory also cannot prove the hypothesis. Therefore, the continuum hypothesis can be accepted as true or it can be accepted as false ...
... and set theory cannot disprove the hypothesis. In 1963, Paul Cohen proved that the continuum hypothesis is independent of the axioms of set theory. In other words, set theory also cannot prove the hypothesis. Therefore, the continuum hypothesis can be accepted as true or it can be accepted as false ...
