Tractatus Logico-Philosophicus · Chapter
5.2523 explained
Wittgenstein equates the concept of successive application of an operation with the concept of 'and so on,' indicating a fundamental link between iterative processes and the notion of continuation or infinity in logical operations.
What happens
Wittgenstein equates the concept of successive application of an operation with the concept of 'and so on,' indicating a fundamental link between iterative processes and the notion of continuation or infinity in logical operations.
Themes in this chapter
Logic and Tautology
The concept of successive application relates to the logical structure of operations and the iterative nature of tautological reasoning.
Characters to notice
- Mr. Wittgenstein
Author of the proposition, defining the equivalence between operation application and the concept of 'and so on.'
Key passages
“The concept of the successive application of an operation is equivalent to the concept “and so on.””
The idea of repeatedly performing an operation is the same as the idea of an ongoing series or continuation.
Clarifies the logical equivalence between iterative processes and the notion of infinite continuation.