27 ideas
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
9175 | We may fix the reference of 'Cicero' by a description, but thereafter the name is rigid [Kripke] |
9171 | The function of names is simply to refer [Kripke] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
9174 | It is necessary that this table is not made of ice, but we don't know it a priori [Kripke] |
9172 | A 'rigid designator' designates the same object in all possible worlds [Kripke] |
9173 | We cannot say that Nixon might have been a different man from the one he actually was [Kripke] |
9176 | Modal statements about this table never refer to counterparts; that confuses epistemology and metaphysics [Kripke] |
9177 | Identity theorists must deny that pains can be imagined without brain states [Kripke] |
9178 | Pain, unlike heat, is picked out by an essential property [Kripke] |
3926 | The human heart has a natural concern for public good [Hume] |
3929 | No moral theory is of any use if it doesn't serve the interests of the individual concerned [Hume] |
3925 | Personal Merit is the possession of useful or agreeable mental qualities [Hume] |
3922 | Justice only exists to support society [Hume] |
23560 | If we all naturally had everything we could ever desire, the virtue of justice would be irrelevant [Hume] |
3918 | Moral philosophy aims to show us our duty [Hume] |
3919 | Conclusions of reason do not affect our emotions or decisions to act [Hume] |
3928 | Virtue just requires careful calculation and a preference for the greater happiness [Hume] |
3923 | No one would cause pain to a complete stranger who happened to be passing [Hume] |
3924 | Nature makes private affections come first, because public concerns are spread too thinly [Hume] |
3921 | The safety of the people is the supreme law [Hume] |
3927 | Society prefers helpful lies to harmful truth [Hume] |
3920 | If you equalise possessions, people's talents will make them unequal again [Hume] |