17 ideas
| 7807 | The laws of thought are true, but they are not the axioms of logic [Bolzano, by George/Van Evra] |
| 18261 | A simplification which is complete constitutes a definition [Kant] |
| 22275 | Logic gives us the necessary rules which show us how we ought to think [Kant] |
| 9618 | Bolzano wanted to reduce all of geometry to arithmetic [Bolzano, by Brown,JR] |
| 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] |
| 18260 | If we knew what we know, we would be astonished [Kant] |
| 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] |
| 20180 | A happy and joyous life must largely be a quiet life [Russell] |
| 20177 | Boredom always involves not being fully occupied [Russell] |
| 20179 | Happiness involves enduring boredom, and the young should be taught this [Russell] |
| 20176 | Boredom is an increasingly strong motivating power [Russell] |
| 20178 | Life is now more interesting, but boredom is more frightening [Russell] |