27 ideas
10061 | The If-thenist view only seems to work for the axiomatised portions of mathematics [Musgrave] |
10065 | Perhaps If-thenism survives in mathematics if we stick to first-order logic [Musgrave] |
10049 | Logical truths may contain non-logical notions, as in 'all men are men' [Musgrave] |
10050 | A statement is logically true if it comes out true in all interpretations in all (non-empty) domains [Musgrave] |
10058 | No two numbers having the same successor relies on the Axiom of Infinity [Musgrave] |
10062 | Formalism seems to exclude all creative, growing mathematics [Musgrave] |
10063 | Formalism is a bulwark of logical positivism [Musgrave] |
14193 | 'Substance theorists' take modal properties as primitive, without structure, just falling under a sortal [Paul,LA] |
14195 | If an object's sort determines its properties, we need to ask what determines its sort [Paul,LA] |
14196 | Substance essentialism says an object is multiple, as falling under various different sortals [Paul,LA] |
14198 | Absolutely unrestricted qualitative composition would allow things with incompatible properties [Paul,LA] |
14190 | Deep essentialist objects have intrinsic properties that fix their nature; the shallow version makes it contextual [Paul,LA] |
14191 | Deep essentialists say essences constrain how things could change; modal profiles fix natures [Paul,LA] |
14192 | Essentialism must deal with charges of arbitrariness, and failure to reduce de re modality [Paul,LA] |
14197 | An object's modal properties don't determine its possibilities [Paul,LA] |
14189 | 'Modal realists' believe in many concrete worlds, 'actualists' in just this world, 'ersatzists' in abstract other worlds [Paul,LA] |
19682 | Internalists are much more interested in evidence than externalists are [McGrew] |
19684 | Does spotting a new possibility count as evidence? [McGrew] |
19687 | Absence of evidence proves nothing, and weird claims need special evidence [McGrew] |
19688 | Every event is highly unlikely (in detail), but may be perfectly plausible [McGrew] |
19686 | Criminal law needs two separate witnesses, but historians will accept one witness [McGrew] |
19680 | Maybe all evidence consists of beliefs, rather than of facts [McGrew] |
19681 | If all evidence is propositional, what is the evidence for the proposition? Do we face a regress? [McGrew] |
19689 | Several unreliable witnesses can give good support, if they all say the same thing [McGrew] |
19683 | Narrow evidentialism relies wholly on propositions; the wider form includes other items [McGrew] |
19685 | Falsificationism would be naive if even a slight discrepancy in evidence killed a theory [McGrew] |
10060 | Logical positivists adopted an If-thenist version of logicism about numbers [Musgrave] |