It is quite impossible for a proposition to state that it itself is true. (4.442)
About this quote
- What does it mean?
- A statement cannot verify its own truthfulness without external validation.
- In plain terms
- You cannot prove a statement is true just by saying it is.
- What can you take from it?
- Truth requires external verification, not self-declaration.
Where it applies
Putting it to work
Questions to consider
- How do we verify truth without circularity?
- Can any statement be self-verifying?
Another view
Some systems like axioms accept self-evident truths without proof.
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