https://link.springer.com/article/10.1007/s10670-023-00673-8
created by Away-Farm7729 on 23/01/2025 at 05:15 UTC
25 upvotes, 4 top-level comments (showing 4)
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Comment by yuriAza at 23/01/2025 at 07:03 UTC
4 upvotes, 0 direct replies
a premise isn't a action, it can be expressed in many different ways and exists as/referring to/known by the totality of those expressions
but communicating a premise through a particular expression in a particular place and time is an act that is inseparably tied to the surrounding context
Comment by garyclarke0 at 23/01/2025 at 21:24 UTC
2 upvotes, 0 direct replies
They describe and inform even create or establish structures for further inquiry, debate, or development.
Comment by ShamelessAardvark at 04/02/2025 at 09:03 UTC
1 upvotes, 0 direct replies
In one sense all language-usage is trivially a speech act because communication is a kind of act. But the term speech act usually refers to “something more than” communication, like entering a contract or a legal relationship. Axioms are part of a formal system which expresses propositions, and so is a speech act in the trivial sense but it’s hard to see how there’s the “something more” required for an act. Some of this depends on your view of the metaphysics and ontology of mathematical objects, but I don’t think that we “create” math by defining it in a formal system. We’re really just discovering a structure that already exists.