250A Lecture 4

# 250A Lecture 4 - TOPIC THE STRUCTURE OF SENTENTIAL LOGIC...

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20 TOPIC: THE STRUCTURE OF SENTENTIAL LOGIC SIMPLE AND COMPOUND SENTENCES A SENTENTIAL OPERATOR IS AN EXPRESSION CONTAINING GAPS SUCH THAT WHEN THE GAPS ARE FILLED IN WITH SENTENCES, THE RESULT IS A SENTENCE. EXAMPLES OF SENTENTIAL OPERATORS: GEORGE BELIEVES THAT __________. IT IS PROBABLE THAT ___________. ___________ AND … IF _________, THEN … IF YOU FILL IN THE GAPS WITH SENTENCES, YOU END UP WITH SENTENCES… TRY: EXAMPLE 8) THE EARTH IS FLAT EXAMPLE 9) HOMER IS FAT NOW, A SIMPLE SENTENCE IS A SENTENCE THAT CONTAINS NO SENTENTIAL OPERATORS. EXAMPLES 8 AND 9 ARE EXAMPLES OF SIMPLE SENTENCES. IN CONTRAST, A COMPOUND SENTENCE IS A SENTENCE THAT IS BUILT UP FROM SIMPLE SENTENCES USING SENTENTIAL OPERATORS. IF WE PLUG EXAMPLES 8 AND 9 INTO THE ABOVE EXAMPLES OF SENTENTIAL OPERATORS, WE END UP WITH EXAMPLES OF COMPOUND SENTENCES. NOW, THESE ARE ONLY ROUGH CHARACTERIZATIONS WE ARE WORKING WITH HERE, AND WITH SOME CARE, WE CAN MORE CLEARLY

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21 SEE HOW TO BUILD COMPOUND SENTENCES USING SENTENTIAL OPERATORS. ALLOW ME TO EXPLAIN… FOR EXAMPLE, THE FOLLOWING ARE EXAMPLES OF COMPOUND SENTENCES:
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• Summer '07
• Powell
• Logic, Syntactic entities, Logical connective, Propositional calculus, First-order logic

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