Combining Texts

All the ideas for 'fragments/reports', 'Idea for a Universal History' and 'The Theory of Logical Types'

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11 ideas

2. Reason / A. Nature of Reason / 3. Pure Reason
Reason enables the unbounded extension of our rules and intentions [Kant]
5. Theory of Logic / E. Structures of Logic / 5. Functions in Logic
'Propositional functions' are ambiguous until the variable is given a value [Russell]
5. Theory of Logic / L. Paradox / 6. Paradoxes in Language / a. The Liar paradox
'All judgements made by Epimenedes are true' needs the judgements to be of the same type [Russell]
6. Mathematics / B. Foundations for Mathematics / 3. Axioms for Geometry
Archimedes defined a straight line as the shortest distance between two points [Archimedes, by Leibniz]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / b. Type theory
Type theory cannot identify features across levels (because such predicates break the rules) [Morris,M on Russell]
Classes are defined by propositional functions, and functions are typed, with an axiom of reducibility [Russell, by Lackey]
6. Mathematics / C. Sources of Mathematics / 10. Constructivism / d. Predicativism
A one-variable function is only 'predicative' if it is one order above its arguments [Russell]
16. Persons / F. Free Will / 2. Sources of Free Will
The manifest will in the world of phenomena has to conform to the laws of nature [Kant]
24. Political Theory / D. Ideologies / 6. Liberalism / d. Liberal freedom
Our aim is a constitution which combines maximum freedom with strong restraint [Kant]
The vitality of business needs maximum freedom (while avoiding harm to others) [Kant]
25. Social Practice / D. Justice / 1. Basis of justice
The highest ideal of social progress is a universal cosmopolitan existence [Kant]