21 ideas
4424 | A warlike philosopher challenges problems to single combat [Nietzsche] |
7807 | The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra] |
10882 | Predicative definitions only refer to entities outside the defined collection [Horsten] |
10884 | A theory is 'categorical' if it has just one model up to isomorphism [Horsten] |
9618 | Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR] |
10885 | Computer proofs don't provide explanations [Horsten] |
10881 | The concept of 'ordinal number' is set-theoretic, not arithmetical [Horsten] |
9830 | Bolzano began the elimination of intuition, by proving something which seemed obvious [Bolzano, by Dummett] |
17265 | Philosophical proofs in mathematics establish truths, and also show their grounds [Bolzano, by Correia/Schnieder] |
9185 | Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Bolzano, by Dummett] |
22276 | Bolzano saw propositions as objective entities, existing independently of us [Bolzano, by Potter] |
17264 | Propositions are abstract structures of concepts, ready for judgement or assertion [Bolzano, by Correia/Schnieder] |
12232 | A 'proposition' is the sense of a linguistic expression, and can be true or false [Bolzano] |
12233 | The ground of a pure conceptual truth is only in other conceptual truths [Bolzano] |
2886 | The distinction between egoistic and non-egoistic acts is absurd [Nietzsche] |
4426 | A bad result distorts one's judgement about the virtue of what one has done [Nietzsche] |
4425 | The overcoming of pity I count among the noble virtues [Nietzsche] |
20132 | To become what you are you must have no self-awareness [Nietzsche] |
20144 | Eternal recurrence is the highest attainable affirmation [Nietzsche] |
2889 | One repays a teacher badly if one remains only a pupil [Nietzsche] |
2887 | I am not an atheist because of reasoning or evidence, but because of instinct [Nietzsche] |