Combining Philosophers

Ideas for Lynch,MP/Glasgow,JM, E.J. Lowe and Immanuel Kant

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2 ideas

5. Theory of Logic / L. Paradox / 3. Antinomies
The battle of the antinomies is usually won by the attacker, and lost by any defender [Kant]
     Full Idea: These sophistical assertions [the antinomies] open us a dialectical battlefield where each party will keep the upper hand as long as it is allowed to attack, and will certainly defeat that which is compelled to conduct itself merely defensively.
     From: Immanuel Kant (Critique of Pure Reason [1781], B450/A423)
     A reaction: This seems related to the interesting question of where the 'onus of proof' lies in a major dispute. Kant's implication is that the battles are not rational, if they are settled in such a fashion.
5. Theory of Logic / L. Paradox / 4. Paradoxes in Logic / a. Achilles paradox
An infinite series of tasks can't be completed because it has no last member [Lowe]
     Full Idea: It appears to be impossible to complete an infinite series of tasks, since such a series has, by definition, no last member.
     From: E.J. Lowe (A Survey of Metaphysics [2002], p.290)
     A reaction: This pinpoints the problem. So are there infinite tasks in a paradox of subdivision like the Achilles?