Combining Texts

All the ideas for 'Realism in Mathematics', 'Evidence' and 'Community'

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23 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]
13. Knowledge Criteria / A. Justification Problems / 3. Internal or External / a. Pro-internalism
Internalists are much more interested in evidence than externalists are [McGrew]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / a. Evidence
Does spotting a new possibility count as evidence? [McGrew]
Absence of evidence proves nothing, and weird claims need special evidence [McGrew]
Every event is highly unlikely (in detail), but may be perfectly plausible [McGrew]
Criminal law needs two separate witnesses, but historians will accept one witness [McGrew]
Maybe all evidence consists of beliefs, rather than of facts [McGrew]
If all evidence is propositional, what is the evidence for the proposition? Do we face a regress? [McGrew]
Several unreliable witnesses can give good support, if they all say the same thing [McGrew]
13. Knowledge Criteria / B. Internal Justification / 3. Evidentialism / b. Evidentialism
Narrow evidentialism relies wholly on propositions; the wider form includes other items [McGrew]
14. Science / A. Basis of Science / 6. Falsification
Falsificationism would be naive if even a slight discrepancy in evidence killed a theory [McGrew]
24. Political Theory / B. Nature of a State / 2. State Legitimacy / a. Sovereignty
Liberal state legitimacy is based on a belief in justice, not in some conception of the good life [Kymlicka]
24. Political Theory / B. Nature of a State / 5. Culture
Liberals say state intervention in culture restricts people's autonomy [Kymlicka]
24. Political Theory / D. Ideologies / 6. Liberalism / e. Liberal community
Modern liberals see a community as simply a society which respects freedom and equality [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / a. Communitarianism
Community can focus on class or citizenship or ethnicity or culture [Kymlicka]
24. Political Theory / D. Ideologies / 7. Communitarianism / b. Against communitarianism
Communitarianism struggles with excluded marginalised groups [Kymlicka]
Feminism has shown that social roles are far from fixed (as communitarians tend to see them) [Kymlicka]
Participation aids the quest for the good life, but why should that be a state activity? [Kymlicka]
25. Social Practice / D. Justice / 1. Basis of justice
Communitarians see justice as primarily a community matter, rather than a principle [Kymlicka]
Justice resolves conflicts, but may also provoke them [Kymlicka]