36 ideas
22002 | Wolff's version of Leibniz dominated mid-18th C German thought [Pinkard] |
22021 | Romantics explored beautiful subjectivity, and the re-enchantment of nature [Pinkard] |
22010 | The combination of Kant and the French Revolution was an excited focus for German philosophy [Pinkard] |
22036 | In Hegel's time naturalism was called 'Spinozism' [Pinkard] |
6420 | Only by analysing is progress possible in philosophy [Russell] |
6432 | Analysis gives new knowledge, without destroying what we already have [Russell] |
6437 | The theory of types makes 'Socrates and killing are two' illegitimate [Russell] |
6442 | Truth belongs to beliefs, not to propositions and sentences [Russell] |
10688 | 'Equivocation' is when terms do not mean the same thing in premises and conclusion [Beall/Restall] |
6436 | I gradually replaced classes with properties, and they ended as a symbolic convenience [Russell] |
10690 | Formal logic is invariant under permutations, or devoid of content, or gives the norms for thought [Beall/Restall] |
10691 | Logical consequence needs either proofs, or absence of counterexamples [Beall/Restall] |
10695 | Logical consequence is either necessary truth preservation, or preservation based on interpretation [Beall/Restall] |
10689 | A step is a 'material consequence' if we need contents as well as form [Beall/Restall] |
7528 | Leibniz bases everything on subject/predicate and substance/property propositions [Russell] |
6439 | Names are meaningless unless there is an object which they designate [Russell] |
10696 | A 'logical truth' (or 'tautology', or 'theorem') follows from empty premises [Beall/Restall] |
10693 | Models are mathematical structures which interpret the non-logical primitives [Beall/Restall] |
10692 | Hilbert proofs have simple rules and complex axioms, and natural deduction is the opposite [Beall/Restall] |
6423 | We tried to define all of pure maths using logical premisses and concepts [Russell] |
6424 | Formalists say maths is merely conventional marks on paper, like the arbitrary rules of chess [Russell] |
6425 | Formalism can't apply numbers to reality, so it is an evasion [Russell] |
6426 | Intuitionism says propositions are only true or false if there is a method of showing it [Russell] |
6419 | In 1899-1900 I adopted the philosophy of logical atomism [Russell] |
6438 | Complex things can be known, but not simple things [Russell] |
6434 | Facts are everything, except simples; they are either relations or qualities [Russell] |
6440 | Universals can't just be words, because words themselves are universals [Russell] |
6430 | In epistemology we should emphasis the continuity between animal and human minds [Russell] |
22048 | Idealism is the link between reason and freedom [Pinkard] |
6441 | Pragmatism judges by effects, but I judge truth by causes [Russell] |
6431 | Empiricists seem unclear what they mean by 'experience' [Russell] |
6444 | True belief about the time is not knowledge if I luckily observe a stopped clock at the right moment [Russell] |
6433 | Behaviourists struggle to explain memory and imagination, because they won't admit images [Russell] |
6443 | Surprise is a criterion of error [Russell] |
6427 | Unverifiable propositions about the remote past are still either true or false [Russell] |
6435 | You can believe the meaning of a sentence without thinking of the words [Russell] |