Guide The Development of Modern Logic

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These notions, associated with lore of the Kabbala, later influenced Pascal and Leibniz and the rise of probability theory. Other work inspired by Lull includes the logic and notational system of the German logician Johann Heinrich Alsted — The work of Vives and Alsted represents perhaps the first systematic effort at a logical symbolism.

With the 17th century came increasing interest in symbolizing logic.

These symbolizations sometimes took graphic or pictorial forms but more often used letters in the manner of algebra to stand for propositions, concepts, classes, properties, and relations, as well as special symbols for logical notions. Inspired by the triumphs achieved in mathematics after it had turned to the systematic use of special symbols, logicians hoped to imitate this success.

Leila Haaparanta

The systematic application of symbols and abbreviations and the conscious hope that through this application great progress could be made have been a distinguishing characteristic of modern logic into the 20th century. The modern era saw major changes not only in the external appearance of logical writings but also in the purposes of logic. Logic for Aristotle was a theory of ideal human reasoning and inference that also had clear pedagogical value.

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A related goal was to extend the scope of human reasoning beyond textbook syllogistic theory and to acknowledge that there were important kinds of valid inference that could not be formulated in traditional Aristotelian syllogistic. But another part of the rejection of Aristotelian logic broadly conceived to include scholastic logic is best explained by the changing and quite new goals that logic took on in the modern era.

Leibniz’s Influence on 19th Century Logic

One such goal was the development of an ideal logical language that naturally expressed ideal thought and was more precise than natural languages. Another goal was to develop methods of thinking and discovery that would accelerate or improve human thought or would allow its replacement by mechanical devices. The linking of logic with mathematics was an especially characteristic theme in the modern era. Finally, in the modern era came an intense consciousness of the importance of logical form forms of sentences, as well as forms or patterns of arguments.

History of logic.

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Logic Theory — History & Overview

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