Combining Texts

All the ideas for 'Science and Method', 'The Nature of Mathematics' and 'Theories of Truth: a Critical Introduction'

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16 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism
Philosophy is an experimental science, resting on common experience [Peirce]
2. Reason / B. Laws of Thought / 3. Non-Contradiction
Self-contradiction doesn't reveal impossibility; it is inductive impossibility which reveals self-contradiction [Peirce]
3. Truth / A. Truth Problems / 5. Truth Bearers
There are at least fourteen candidates for truth-bearers [Kirkham]
3. Truth / F. Semantic Truth / 1. Tarski's Truth / b. Satisfaction and truth
A 'sequence' of objects is an order set of them [Kirkham]
If one sequence satisfies a sentence, they all do [Kirkham]
3. Truth / F. Semantic Truth / 2. Semantic Truth
If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham]
5. Theory of Logic / A. Overview of Logic / 5. First-Order Logic
In quantified language the components of complex sentences may not be sentences [Kirkham]
5. Theory of Logic / C. Ontology of Logic / 3. If-Thenism
Logic, unlike mathematics, is not hypothetical; it asserts categorical ends from hypothetical means [Peirce]
5. Theory of Logic / I. Semantics of Logic / 4. Satisfaction
An open sentence is satisfied if the object possess that property [Kirkham]
6. Mathematics / A. Nature of Mathematics / 2. Geometry
One geometry cannot be more true than another [Poincaré]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Mathematics is close to logic, but is even more abstract [Peirce]
7. Existence / D. Theories of Reality / 8. Facts / b. Types of fact
Why can there not be disjunctive, conditional and negative facts? [Kirkham]
10. Modality / B. Possibility / 1. Possibility
Some logical possibility concerns single propositions, but there is also compatibility between propositions [Peirce]
12. Knowledge Sources / D. Empiricism / 1. Empiricism
Experience is indeed our only source of knowledge, provided we include inner experience [Peirce]
12. Knowledge Sources / D. Empiricism / 5. Empiricism Critique
The world is one of experience, but experiences are always located among our ideas [Peirce]
22. Metaethics / A. Ethics Foundations / 1. Nature of Ethics / b. Defining ethics
Ethics is the science of aims [Peirce]