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formal logic
summary
the lesson focuses on understanding formal logic, particularly conditional statements and their contrapositives, which are essential for solving certain types of questions on the act exam.
- conditional statements are if-then statements and their logical equivalents, which can also be expressed using 'all' or 'every'.
- it's crucial to recognize that the converse of a true conditional statement is not necessarily true, but its contrapositive (if not q, then not p) is always true.
- understanding and constructing the contrapositive of a given statement is a key skill for the act.
- the lesson includes practice problems to apply the concept of contrapositives and conditional statements to infer logical conclusions.
- the ability to work with conditional statements, even with unfamiliar or fictional content, is emphasized as a critical reasoning skill.
chapters
00:00
introduction to formal logic
00:19
understanding conditional statements
03:17
the contrapositive
05:53
applying logic to practice problems
