In this lesson you’ll learn the concepts and how to use the connectivesIf… then, in the reasoning and write the simple sentence. The content,
explanations and including practice problems with solution can be learnt
with the help of video audio presentation in own hand writing by the
instructor and several examples.
The conditionals are statements that say if one
thing happens, another will follow. When p and q
represent simple sentences, the conditionals “if p then q”
is written in symbolic form as
pq. Such sentences
formed using connectives are called compound sentences.
(More text below video...)
(Continued from above)
The conditional sometimes is called an implication; the symbols
for conditionals can p
-> q can be understood as p implies q. E.g.
Remember:
• the parts of the conditional- p is called the premise, the hypothesis, or the
antecedents (generally follows the word if) AND q is called the conclusion, consequent. The
consequent generally follows the word then. E.g. the conditional statement “If two angles
are adjacent, then the angles have in common a vertex, a side, and no common interior points”.
Here the p (hypothesis) is- If two angles are adjacent AND q (conclusion) is- the angles have
in common a vertex, a side, and no common interior points.
Another example: Right angle is defined as- an angle whose measure is 90 degrees. In such a case, p: an angle is a right angle hypothesis, which is true. q: it measures exactly 90
conclusion, which is true.
•
It can be written as conditional: If an angle is a right angle, it measures
exactly 90.
• conditional is false when a true hypothesis leads to a
false conclusion. In all other cases, the conditional is true.
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