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Research project:

Extremal axioms: logical, mathematical and cognitive aspects

Work in progress

• Extremal axioms
• Mathematical intuition
• Mathematical foundations of metalogic
• The logical works of Roman Suszko
• Skolem’s paradox
• Ernst Zermelo’s infinitary logic
• Analytic tableaux.

Past work

• Hierarchical analyses of language
• Tolerance and opposition spaces
• Lexical and combinatory semantics
• Structural typology of languages
• Phonological trifles