32 ideas
7973 | There is no longer anything on which there is nothing to say [Baudrillard] |
7975 | The task of philosophy is to unmask the illusion of objective reality [Baudrillard] |
7986 | Drunken boat pilots are less likely to collide than clearly focused ones [Baudrillard] |
7982 | Instead of thesis and antithesis leading to synthesis, they now cancel out, and the conflict is levelled [Baudrillard] |
20183 | So-called 'though experiments' are just philosophers observing features of the world [Cappelen] |
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] |
7974 | Without God we faced reality: what do we face without reality? [Baudrillard] |
7987 | Nothing is true, but everything is exact [Baudrillard] |
8725 | Rationalism tries to apply mathematical methodology to all of knowledge [Shapiro] |
20182 | The word 'intuitive' often plays not role at all in arguments, and can be removed [Cappelen] |
7978 | There is no need to involve the idea of free will to make choices about one's life [Baudrillard] |
7980 | In modern times, being useless is the essential aesthetic ingredient for an object [Baudrillard] |
7983 | Good versus evil has been banefully reduced to happiness versus misfortune [Baudrillard] |
7981 | Whole populations are terrorist threats to authorities, who unite against them [Baudrillard] |
7976 | People like democracy because it means they can avoid power [Baudrillard] |
7977 | Only in the last 200 years have people demanded the democratic privilege of being individuals [Baudrillard] |
7979 | The arrival of the news media brought history to an end [Baudrillard] |
7984 | Suicide is ascribed to depression, with the originality of the act of will ignored [Baudrillard] |
7985 | Pascal says secular life is acceptable, but more fun with the hypothesis of God [Baudrillard] |