Combining Texts

All the ideas for 'Universal Arithmetick', 'Evidence' and 'Intro to III: Quantifiers'

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13 ideas

5. Theory of Logic / G. Quantification / 4. Substitutional Quantification
Substitutional universal quantification retains truth for substitution of terms of the same type [Jacquette]
Nominalists like substitutional quantification to avoid the metaphysics of objects [Jacquette]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / b. Greek arithmetic
A number is not a multitude, but a unified ratio between quantities [Newton]
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
Absence of evidence proves nothing, and weird claims need special evidence [McGrew]
Does spotting a new possibility count as 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]