Publication details

Dummett's intuitionism

Authors

ŠTĚPÁNEK Jan

Year of publication 2021
Type Appeared in Conference without Proceedings
MU Faculty or unit

Faculty of Arts

Citation
Description The most influential contemporary theories of language operate on the basis of classical two-valued logic, according to which every statement is either true or false, once and for all and independently of the users of language. But such a conception leads to unintuitive conclusions and - according to the British philosopher Michael Dummett - even insoluble difficulties. We should, therefore, in accordance with the principles of intuitionistic logic, reject the law of bivalence, and base the substance of language on the concept of assertability instead of the concept of truth. In my contribution, I will focus on treatment of mathematical statements. First, I will introduce Dummett’s theory of anti-realism in general. Then I will show how does the theory function when we talk about mathematics. Finally, I will point to challenge to justification theory of meaning and Dummett’s emphasis on proof and evidence.
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