46 ideas
24146 | All the major problems were formulated before Socrates [Nietzsche] |
24142 | What matters is how humans can be developed [Nietzsche] |
24143 | Thinkers might agree some provisional truths, as methodological assumptions [Nietzsche] |
24125 | Aristotle enjoyed the sham generalities of a system, as the peak of happiness! [Nietzsche] |
24147 | Thoughts are uncertain, and are just occasions for interpretation [Nietzsche] |
15924 | Predicative definitions are acceptable in mathematics if they distinguish objects, rather than creating them? [Zermelo, by Lavine] |
17608 | We take set theory as given, and retain everything valuable, while avoiding contradictions [Zermelo] |
17607 | Set theory investigates number, order and function, showing logical foundations for mathematics [Zermelo] |
10870 | ZFC: Existence, Extension, Specification, Pairing, Unions, Powers, Infinity, Choice [Zermelo, by Clegg] |
13012 | Zermelo published his axioms in 1908, to secure a controversial proof [Zermelo, by Maddy] |
17609 | Set theory can be reduced to a few definitions and seven independent axioms [Zermelo] |
13017 | Zermelo introduced Pairing in 1930, and it seems fairly obvious [Zermelo, by Maddy] |
13015 | Zermelo used Foundation to block paradox, but then decided that only Separation was needed [Zermelo, by Maddy] |
13020 | The Axiom of Separation requires set generation up to one step back from contradiction [Zermelo, by Maddy] |
13486 | Not every predicate has an extension, but Separation picks the members that satisfy a predicate [Zermelo, by Hart,WD] |
24137 | Mathematics is just accurate inferences from definitions, and doesn't involve objects [Nietzsche] |
13487 | In ZF, the Burali-Forti Paradox proves that there is no set of all ordinals [Zermelo, by Hart,WD] |
18178 | For Zermelo the successor of n is {n} (rather than n U {n}) [Zermelo, by Maddy] |
13027 | Zermelo believed, and Von Neumann seemed to confirm, that numbers are sets [Zermelo, by Maddy] |
9627 | Different versions of set theory result in different underlying structures for numbers [Zermelo, by Brown,JR] |
24131 | There is no 'being'; it is just the opposition to nothingness [Nietzsche] |
24151 | I only want thinking that is anchored in body, senses and earth [Nietzsche] |
24150 | We can only understand through concepts, which subsume particulars in generalities [Nietzsche] |
24138 | Strongly believed a priori is not certain; it may just be a feature of our existence [Nietzsche] |
24130 | An affirmative belief is present in every basic sense impression [Nietzsche] |
24124 | We now have innumerable perspectives to draw on [Nietzsche] |
24145 | Mind is a mechanism of abstraction and simplification, aimed at control [Nietzsche] |
24144 | A cognitive mechanism wanting to know itself is absurd! [Nietzsche] |
24139 | A 'person' is just one possible abstraction from a bundle of qualities [Nietzsche] |
24133 | I have perfected fatalism, as recurrence and denial of the will [Nietzsche] |
24152 | Fate is inspiring, if you understand you are part of it [Nietzsche] |
24129 | We start with images, then words, and then concepts, to which emotions attach [Nietzsche] |
24127 | Judging actions by intentions - like judging painters by their thoughts! [Nietzsche] |
24149 | Values need a perspective, of preserving some aspect of life [Nietzsche] |
24148 | If you love something, it is connected with everything, so all must be affirmed as good [Nietzsche] |
24135 | Egoism should not assume that all egos are equal [Nietzsche] |
24132 | After Socrates virtue is misunderstood, as good for all, not for individuals [Nietzsche] |
24126 | We contain multitudes of characters, which can brought into the open [Nietzsche] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
24136 | Who can endure the thought of eternal recurrence? [Nietzsche] |
24154 | If you want one experience repeated, you must want all of them [Nietzsche] |
24153 | Humans are determined by community, so its preservation is their most valued drive [Nietzsche] |
24134 | There is always slavery, whether we like it or not [Nietzsche] |
24128 | After history following God, or a people, or an idea, we now see it in terms of animals [Nietzsche] |
24140 | Cause and effect is a hypothesis, based on our supposed willing of actions [Nietzsche] |
24141 | Having a sense of time presupposes absolute time [Nietzsche] |