Question

Use the Law of Syllogism to determine whether a valid conclusion can be reached from each set of statements. If a valid conclusion is possible, write it. If not, write no conclusion. If you are 18 years old, you can vote. You can vote.

Name: Problem 3, Chapter 2: Geometry
Uploaded: 2020-07-09T16:59:15-08:00
Duration: 1 min 53 s
Channel: Anna Myers
Description: Use the Law of Syllogism to determine whether a valid conclusion can be reached from each set of statements. If a valid conclusion is possible, write it. If not, write no conclusion. If you are 18 years old, you can vote. You can vote.

   Use the Law of Syllogism to determine whether a valid conclusion can be reached from each set of statements. If a valid conclusion is possible, write it. If not, write no conclusion.
If you are 18 years old, you can vote. You can vote.

Geometry

Cindy J. Boyd, Jerry… 1st Edition

Chapter 2, Problem 3

Instant Answer

Solved by Expert Anna Myers

07/09/2020

Step 1

The law of syllogism states that if we have two conditional statements, one with the form "if A then B" and another with the form "if B then C", then we can conclude "if A then C". Show more…

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Use the Law of Syllogism to determine whether a valid conclusion can be reached from each set of statements. If a valid conclusion is possible, write it. If not, write no conclusion. If you are 18 years old, you can vote. You can vote.

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Key Concepts

Law of Syllogism

The Law of Syllogism is a rule of inference in logic that states if one statement implies a second and the second statement implies a third, then the first statement implies the third. This transitive property is used to connect conditional statements in a chain to establish a final conclusion, assuming all conditions reliably lead to the next.

Conditional Statements

Conditional statements are logical assertions typically in the form 'if P then Q.' They establish a sufficient condition (P) for a consequent (Q) but do not imply that Q necessarily results only from P, or that Q can be reversed back to P. Recognizing this structure is crucial to determining valid conclusions from given premises.

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