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History and Philosophy of Logic
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Module 6
Intuitionism and Semantic Anti-Realism
1
Brouwer and the Rejection of Excluded Middle
Analyse Brouwer's philosophical case against the law of excluded middle based on the nature of mathematical construction.
2
Brouwer-Heyting-Kolmogorov Interpretation of Logical Connectives
Evaluate the BHK interpretation as an alternative account of the meaning of logical connectives.
3
Dummett and the Public Manifestation of Understanding
Analyse Dummett's argument that a theory of meaning must be grounded in the public manifestation of understanding.
4
Dummett's Manifestation Argument for Intuitionism
Evaluate how Dummett's 'manifestation argument' provides a justification for intuitionistic logic over classical logic.
5
Classical vs. Intuitionistic Logic: A Philosophical Divide?
Assess whether the choice between classical and intuitionistic logic is a substantive philosophical dispute.
Previous module
The Nature of Logical Consequence
Next module
Modality, Worlds, and Essences