102 résultats pour "and"

• THE TRANSCENDENTAL ANALYTIC: THE SYSTEM OF PRINCIPLES - KANT

  None the less, Kant's exploration of the principles underlying our judgements is of the highest interest. A priori judgements, we recall, may be analytic or synthetic. The highest principle of analytic judgements is the principle of non-contradiction: a self-contradictory judgement is void, and the mark of an analytic judgement is that the contradiction of it is self-contradictory. But the principle of non-contradiction will not take us beyond the field of analytic propositions: it is a necessar...

• Axiom of choice

  Axiom of choice The axiom of choice is a mathematical postulate about sets: for each family of non-empty sets, there exists a function selecting one member from each set in the family. If those sets have no member in common, it postulates that there is a set having exactly one element in common with each set in the family. First formulated in 1904, the axiom of choice was highly controversial among mathematicians and philosophers, because it epitomized 'non-constructive' mathematics. Nevertheles...