## The New Encyclopaedia Britannica, Volume 23 |

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Page 268

The two main branches of formal logic are the propositional

predicate

to show that the propositional

The two main branches of formal logic are the propositional

**calculus**and thepredicate

**calculus**(see above Formal logic). The propositional**calculus**. It is easyto show that the propositional

**calculus**is complete in the sense that every valid ...Page 269

An alternative proof, developed by Skolem in 1922 to avoid appealing to the

principles of set theory, has turned out to be useful also for establishing the

completeness of the

arbitrarily ...

An alternative proof, developed by Skolem in 1922 to avoid appealing to the

principles of set theory, has turned out to be useful also for establishing the

completeness of the

**calculus**. Instead of using the function / as before, a can bearbitrarily ...

Page 578

When reformulated analytically, this result expresses the inverse character of

differentiation and integration, the fundamental theorem of the

Barrow's decision to proceed geometrically prevented him from taking the final

step ...

When reformulated analytically, this result expresses the inverse character of

differentiation and integration, the fundamental theorem of the

**calculus**. AlthoughBarrow's decision to proceed geometrically prevented him from taking the final

step ...

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