22 ideas
15717 | Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan] |
15712 | 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan] |
15711 | The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan] |
15714 | 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan] |
15715 | 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan] |
14596 | Call 'nominalism' the denial of numbers, properties, relations and sets [Dorr] |
14597 | Natural Class Nominalism says there are primitive classes of things resembling in one respect [Dorr] |
14598 | Abstracta imply non-logical brute necessities, so only nominalists can deny such things [Dorr] |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
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] |