NotaBene .

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On the Distinction Between Formal and Material Implication

Abstract: Russell's understanding of implication in The Principles of Mathematics (1903) is dual. At the heart of this understanding we find two concepts: material and formal implication. In the paper I give the reasons why Russell had to introduce the distinction between formal and material implications. I then draw the consequences of the distinction with special attention to their direct effect on logical affirmation and logical conclusion.
Key words: proposition, propositional function, material implication, formal implication, logical conclusion.

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"Platonic Realism" and the philosophical logic project

Platonic Realism and the Project of Philosophical Logic
Abstract:
The article is based on the main problems that the Russel's onthology (platonic realism) generates. The extreme realism that the philosopher allows is a fundament of his philosophical logic. From another point of view, persisting on this kind of realism leads to unsolvable problems on the field of philosophical logic.
Key words: Russell, philosophical logic, Platonic realism, logical form, Wittgenstein

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