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Ideas of Bernard Bolzano, by Text
[Czechoslovakian, 1781  1848, Born in Prague. Germanspeaking. Catholic priest. Professor at University of Prague. Sacked for liberal views in 1819.]
1837

Theory of Science (Wissenschaftslehre, 4 vols)


p.6

17265

Philosophical proofs in mathematics establish truths, and also show their grounds [Correia/Schnieder]


p.6

17264

Propositions are abstract structures of concepts, ready for judgement or assertion [Correia/Schnieder]


p.17

22276

Bolzano saw propositions as objective entities, existing independently of us [Potter]


p.28

9618

Bolzano wanted to reduce all of geometry to arithmetic [Brown,JR]


p.67

9830

Bolzano began the elimination of intuition, by proving something which seemed obvious [Dummett]


p.129

9185

Bolzano wanted to avoid Kantian intuitions, and prove everything that could be proved [Dummett]

Pref

p.

12233

The ground of a pure conceptual truth is only in other conceptual truths

§3

p.39

7807

The laws of thought are true, but they are not the axioms of logic [George/Van Evra]

Pref?

p.

12232

A 'proposition' is the sense of a linguistic expression, and can be true or false

1846

Paradoxes of the Infinite


p.131

10856

A truly infinite quantity does not need to be a variable

§4

p.56

9987

An aggregate in which order does not matter I call a 'set'
