47 ideas
23183 | Different abilities are needed for living in an incomplete and undogmatic system [Nietzsche] |
23188 | Bad writers use shapeless floating splotches of concepts [Nietzsche] |
23212 | A text has many interpretations, but no 'correct' one [Nietzsche] |
23199 | What is the search for truth if it isn't moral? [Nietzsche] |
23202 | Like all philosophers, I love truth [Nietzsche] |
23196 | Logic is a fiction, which invents the view that one thought causes another [Nietzsche] |
8729 | Intuitionists deny excluded middle, because it is committed to transcendent truth or objects [Shapiro] |
23186 | Numbers enable us to manage the world - to the limits of counting [Nietzsche] |
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] |
23211 | Events are just interpretations of groups of appearances [Nietzsche] |
23207 | Appearance is the sole reality of things, to which all predicates refer [Nietzsche] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
23197 | Memory is essential, and is only possible by means of abbreviation signs [Nietzsche] |
23206 | Schematic minds think thoughts are truer if they slot into a scheme [Nietzsche] |
23209 | Each of our personal drives has its own perspective [Nietzsche] |
23184 | The mind is a simplifying apparatus [Nietzsche] |
23190 | Consciousness is our awareness of our own mental life [Nietzsche] |
23191 | Minds have an excluding drive to scare things off, and a selecting one to filter facts [Nietzsche] |
23213 | The greatest drive of life is to discharge strength, rather than preservation [Nietzsche] |
23210 | That all events are necessary does not mean they are compelled [Nietzsche] |
23189 | Concepts are rough groups of simultaneous sensations [Nietzsche] |
23192 | Concepts don’t match one thing, but many things a little bit [Nietzsche] |
23187 | Whatever their origin, concepts survive by being useful [Nietzsche] |
23205 | Thought starts as ambiguity, in need of interpretation and narrowing [Nietzsche] |
23198 | Aesthetics can be more basic than morality, in our pleasure in certain patterns of experience [Nietzsche] |
20443 | The aesthetic attitude is nothing more than paying close attention [Dickie, by Giovannelli] |
23208 | Caesar and Napoleon point to the future, when they pursue their task regardless of human sacrifice [Nietzsche] |
23193 | Napoleon was very focused, and rightly ignored compassion [Nietzsche] |
23214 | For the strongest people, nihilism gives you wings! [Nietzsche] |
23203 | The great question is approaching, of how to govern the earth as a whole [Nietzsche] |
23200 | The controlling morality of aristocracy is the desire to resemble their ancestors [Nietzsche] |
23194 | People feel united as a nation by one language, but then want a common ancestry and history [Nietzsche] |
23204 | To be someone you need property, and wanting more is healthy [Nietzsche] |
23195 | Laws of nature are actually formulas of power relations [Nietzsche] |
23185 | In chemistry every substance pushes, and thus creates new substances [Nietzsche] |