12 ideas
9470 | Modal logic is not an extensional language [Parsons,C] |
13418 | The old problems with the axiom of choice are probably better ascribed to the law of excluded middle [Parsons,C] |
10304 | Very few things in set theory remain valid in intuitionist mathematics [Bernays] |
9469 | Substitutional existential quantifier may explain the existence of linguistic entities [Parsons,C] |
9468 | On the substitutional interpretation, '(∃x) Fx' is true iff a closed term 't' makes Ft true [Parsons,C] |
17447 | Parsons says counting is tagging as first, second, third..., and converting the last to a cardinal [Parsons,C, by Heck] |
10303 | Restricted Platonism is just an ideal projection of a domain of thought [Bernays] |
18201 | General principles can be obvious in mathematics, but bold speculations in empirical science [Parsons,C] |
10306 | Mathematical abstraction just goes in a different direction from logic [Bernays] |
13419 | If functions are transfinite objects, finitists can have no conception of them [Parsons,C] |
13417 | If a mathematical structure is rejected from a physical theory, it retains its mathematical status [Parsons,C] |
16627 | If you remove the accidents from a horse and a lion, the intellect can't tell them apart [Francis of Marchia] |