40 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] |
21032 | Speak truth only to those who deserve the truth [Sandel] |
21033 | Careful evasions of truth at least show respect for it [Sandel] |
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] |
19216 | Propositions (such as 'that dog is barking') only exist if their items exist [Williamson] |
16874 | The parts of a thought map onto the parts of a sentence [Frege] |
21036 | Not all deals are fair deals [Sandel] |
21038 | Does consent create the obligation, or must there be some benefit? [Sandel] |
21039 | Moral contracts involve both consent and reciprocity; making the deal, and keeping it [Sandel] |
21030 | The categorical imperative is not the Golden Rule, which concerns contingent desires [Sandel] |
21031 | Man cannot dispose of himself, because he is not a thing to be owned [Sandel] |
21035 | Just visiting (and using roads) is hardly ratifying the Constitution [Sandel] |
21037 | A ratified constitution may not be a just constitution [Sandel] |
21034 | A just constitution harmonises the different freedoms [Sandel] |
21049 | Liberal freedom was a response to assigned destinies like caste and class [Sandel] |
21040 | Libertarians just want formal equality in a free market; the meritocratic view wants fair equality [Sandel] |
21028 | We can approach justice through welfare, or freedom, or virtue [Sandel] |
21027 | Justice concerns how a society distributes what it prizes - wealth, rights, power and honours [Sandel] |
21042 | Should we redress wrongs done by a previous generation? [Sandel] |
21043 | Distributive justice concern deserts, as well as who gets what [Sandel] |
21052 | Justice is about how we value things, and not just about distributions [Sandel] |
21048 | Work is not fair if it is negotiated, even in a fair situation, but if it suits the nature of the worker [Sandel] |
21045 | Teleological thinking is essential for social and political issues [Sandel] |