57 ideas
24084 | Seeing with other eyes is more egoism, but exploring other perspectives leads to objectivity [Nietzsche] |
24092 | I tell the truth, even if it is repulsive [Nietzsche] |
24114 | The pain in truth is when it destroys a belief [Nietzsche] |
24104 | We don't create logic, time and space! The mind obeys laws because they are true [Nietzsche] |
2572 | Logical truth seems much less likely to 'correspond to the facts' than factual truth does [Haack] |
2570 | The same sentence could be true in one language and meaningless in another, so truth is language-relative [Haack] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
8763 | The number 3 is presumably identical as a natural, an integer, a rational, a real, and complex [Shapiro] |
18249 | Cauchy gave a formal definition of a converging sequence. [Shapiro] |
8764 | Categories are the best foundation for mathematics [Shapiro] |
8762 | Two definitions of 3 in terms of sets disagree over whether 1 is a member of 3 [Shapiro] |
8760 | Numbers do not exist independently; the essence of a number is its relations to other numbers [Shapiro] |
8761 | A 'system' is related objects; a 'pattern' or 'structure' abstracts the pure relations from them [Shapiro] |
8744 | Logicism seems to be a non-starter if (as is widely held) logic has no ontology of its own [Shapiro] |
8749 | Term Formalism says mathematics is just about symbols - but real numbers have no names [Shapiro] |
8750 | Game Formalism is just a matter of rules, like chess - but then why is it useful in science? [Shapiro] |
8752 | Deductivism says mathematics is logical consequences of uninterpreted axioms [Shapiro] |
8753 | Critics resent the way intuitionism cripples mathematics, but it allows new important distinctions [Shapiro] |
8731 | Conceptualist are just realists or idealist or nominalists, depending on their view of concepts [Shapiro] |
8730 | 'Impredicative' definitions refer to the thing being described [Shapiro] |
24112 | To think about being we must have an opinion about what it is [Nietzsche] |
24089 | Essences are fictions needed for beings who represent things [Nietzsche] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
24115 | There is no proof that we forget things - only that we can't recall [Nietzsche] |
24090 | Our inclinations would not conflict if we were a unity; we imagine unity for our multiplicity [Nietzsche] |
24099 | We contain many minds, which fight for the 'I' of the mind [Nietzsche] |
24102 | Thoughts are signs (just as words are) [Nietzsche] |
24120 | Great orators lead their arguments, rather than following them [Nietzsche] |
24097 | The pragmatics of language is more comprehensible than the meaning [Nietzsche] |
24108 | Actions are just a release of force. They seize on something, which becomes the purpose [Nietzsche] |
24105 | Drives make us feel non-feelings; Will is the effect of those feelings [Nietzsche] |
24117 | We need lower and higher drives, but they must be under firm control [Nietzsche] |
24113 | Our motives don't explain our actions [Nietzsche] |
24087 | People who miss beauty seek the sublime, where even the ugly shows its 'beauty' [Nietzsche] |
24091 | The sublimity of nature which dwarfs us was a human creation [Nietzsche] |
24093 | We can aspire to greatness by creating new functions for ourselves [Nietzsche] |
24121 | Greeks might see modern analysis of what is human as impious [Nietzsche] |
24107 | Once a drive controls the intellect, it rules, and sets the goals [Nietzsche] |
24085 | For absolute morality a goal for mankind is needed [Nietzsche] |
24101 | We always assign values, but we may not value those values [Nietzsche] |
24094 | Humans are vividly aware of short-term effects, and almost ignorant of the long-term ones [Nietzsche] |
24111 | Happiness is the active equilibrium of our drives [Nietzsche] |
24109 | Actual morality is more complicated and subtle than theory (which gets paralysed) [Nietzsche] |
24110 | Some things we would never do, even for the highest ideals [Nietzsche] |
24103 | You should not want too many virtues; one is enough [Nietzsche] |
24106 | Talk of 'utility' presupposes that what is useful to people has been defined [Nietzsche] |
24086 | The goal is to settle human beings, like other animals, but humans are still changeable [Nietzsche] |
24123 | My eternal recurrence is opposed to feeling fragmented and imperfect [Nietzsche] |
24088 | See our present lives as eternal! Religions see it as fleeting, and aim at some different life [Nietzsche] |
24119 | The eternal return of wastefulness is a terrible thought [Nietzsche] |
24116 | Justice says people are not equal, and should become increasingly unequal [Nietzsche] |
24098 | Reasons that justify punishment can also justify the crime [Nietzsche] |
24118 | Do away with punishment. Counter-retribution is as bad as the crime [Nietzsche] |
24100 | If you don't want war, remove your borders; but you set up borders because you want war [Nietzsche] |
24095 | Our growth is too subtle to perceive, and long events are too slow for us to grasp [Nietzsche] |
24096 | Unlike time, space is subjective. Empty space was assumed, but it doesn't exist [Nietzsche] |
24122 | Life is forces conjoined by nutrition, to produce resistance, arrangement and value [Nietzsche] |