Combining Philosophers

Ideas for Eubulides, Ludwig Wittgenstein and St John

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9 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics
In mathematics everything is algorithm and nothing is meaning [Wittgenstein]
6. Mathematics / A. Nature of Mathematics / 3. Nature of Numbers / g. Real numbers
We don't get 'nearer' to something by adding decimals to 1.1412... (root-2) [Wittgenstein]
6. Mathematics / A. Nature of Mathematics / 5. The Infinite / a. The Infinite
Infinity is not a number, so doesn't say how many; it is the property of a law [Wittgenstein]
6. Mathematics / B. Foundations for Mathematics / 5. Definitions of Number / a. Defining numbers
A number is a repeated operation [Wittgenstein]
The concept of number is just what all numbers have in common [Wittgenstein]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / b. Mathematics is not set theory
The theory of classes is superfluous in mathematics [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism
Two and one making three has the necessity of logical inference [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 6. Logicism / d. Logicism critique
Wittgenstein hated logicism, and described it as a cancerous growth [Wittgenstein, by Monk]
The logic of the world is shown by tautologies in logic, and by equations in mathematics [Wittgenstein]