35 ideas
| 16877 | A 'constructive' (as opposed to 'analytic') definition creates a new sign [Frege] |
| 11219 | Frege suggested that mathematics should only accept stipulative definitions [Frege, by Gupta] |
| 16878 | We must be clear about every premise and every law used in a proof [Frege] |
| 16867 | Logic not only proves things, but also reveals logical relations between them [Frege] |
| 16863 | Does some mathematical reasoning (such as mathematical induction) not belong to logic? [Frege] |
| 16862 | The closest subject to logic is mathematics, which does little apart from drawing inferences [Frege] |
| 16865 | 'Theorems' are both proved, and used in proofs [Frege] |
| 16866 | Tracing inference backwards closes in on a small set of axioms and postulates [Frege] |
| 16868 | The essence of mathematics is the kernel of primitive truths on which it rests [Frege] |
| 16871 | A truth can be an axiom in one system and not in another [Frege] |
| 16870 | Axioms are truths which cannot be doubted, and for which no proof is needed [Frege] |
| 16869 | To create order in mathematics we need a full system, guided by patterns of inference [Frege] |
| 16864 | If principles are provable, they are theorems; if not, they are axioms [Frege] |
| 9388 | Every concept must have a sharp boundary; we cannot allow an indeterminate third case [Frege] |
| 16876 | We need definitions to cram retrievable sense into a signed receptacle [Frege] |
| 16875 | We use signs to mark receptacles for complex senses [Frege] |
| 16879 | A sign won't gain sense just from being used in sentences with familiar components [Frege] |
| 16873 | Thoughts are not subjective or psychological, because some thoughts are the same for us all [Frege] |
| 16872 | A thought is the sense expressed by a sentence, and is what we prove [Frege] |
| 16874 | The parts of a thought map onto the parts of a sentence [Frege] |
| 13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
| 20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |
| 20712 | God is 'eternal' either by being non-temporal, or by enduring forever [Davies,B] |
| 20701 | Can God be good, if he has not maximised goodness? [Davies,B] |
| 20702 | The goodness of God may be a higher form than the goodness of moral agents [Davies,B] |
| 20703 | How could God have obligations? What law could possibly impose them? [Davies,B] |
| 20694 | 'Natural theology' aims to prove God to anyone (not just believers) by reason or argument [Davies,B] |
| 20706 | A distinct cause of the universe can't be material (which would be part of the universe) [Davies,B] |
| 20707 | The universe exhibits design either in its sense of purpose, or in its regularity [Davies,B] |
| 20708 | If God is an orderly being, he cannot be the explanation of order [Davies,B] |
| 20710 | Maybe an abnormal state of mind is needed to experience God? [Davies,B] |
| 20711 | A believer can experience the world as infused with God [Davies,B] |
| 20709 | The experiences of God are inconsistent, not universal, and untestable [Davies,B] |
| 20697 | One does not need a full understanding of God in order to speak of God [Davies,B] |
| 20699 | Paradise would not contain some virtues, such as courage [Davies,B] |