Combining Texts

All the ideas for 'What is a Leading Principle?', 'Continuity and Irrational Numbers' and ''Objectivity' in Social Sciences and Social Policy'

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7 ideas

2. Reason / A. Nature of Reason / 5. Objectivity
There is no objectivity in social sciences - only viewpoints for selecting and organising data [Weber]
The results of social research can be true, and not just subjectively valid for one person [Weber]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We want the essence of continuity, by showing its origin in arithmetic [Dedekind]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / i. Reals from cuts
A cut between rational numbers creates and defines an irrational number [Dedekind]
6. Mathematics / A. Nature of Mathematics / 4. Using Numbers / f. Arithmetic
Arithmetic is just the consequence of counting, which is the successor operation [Dedekind]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / l. Limits
If x changes by less and less, it must approach a limit [Dedekind]
11. Knowledge Aims / A. Knowledge / 4. Belief / c. Aim of beliefs
A 'belief' is a habit which determines how our imagination and actions proceed [Peirce]