Combining Texts

All the ideas for 'Phenomenalism', 'Oldest System Prog. of German Idealism' and 'works'

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8 ideas

2. Reason / A. Nature of Reason / 1. On Reason

7083	Highest reason is aesthetic, and truth and good are subordinate to beauty [Hegel]

5. Theory of Logic / A. Overview of Logic / 2. History of Logic

11022

Gentzen introduced a natural deduction calculus (NK) in 1934 [Gentzen, by Read]

5. Theory of Logic / E. Structures of Logic / 2. Logical Connectives / a. Logical connectives

11065

The inferential role of a logical constant constitutes its meaning [Gentzen, by Hanna]

11023

The logical connectives are 'defined' by their introduction rules [Gentzen]

11213

Each logical symbol has an 'introduction' rule to define it, and hence an 'elimination' rule [Gentzen]

6. Mathematics / B. Foundations for Mathematics / 4. Axioms for Number / g. Incompleteness of Arithmetic

10067

Gentzen proved the consistency of arithmetic from assumptions beyond arithmetic [Gentzen, by Musgrave]

11. Knowledge Aims / C. Knowing Reality / 2. Phenomenalism

2614	Modern phenomenalism holds that objects are logical constructions out of sense-data [Ayer]

12. Knowledge Sources / B. Perception / 4. Sense Data / a. Sense-data theory

2615	The concept of sense-data allows us to discuss appearances without worrying about reality [Ayer]