
Having extreme difficulty understanding conditional statements.
Aug 28, 2020 · A conditional statement is a compound statement, containing two clauses, the antecedent (sometimes called the condition) and the consequent (sometimes called the conclusion).
logic - Conditional statements? - Mathematics Stack Exchange
Sep 6, 2016 · My textbook states that for the conditional statement "p implies q", "p is a sufficient condition for q and q is a necessary condition for p." How is this so? One might be lead to believe …
How do we know that the contrapositive, ¬q → ¬p, of a conditional ...
May 31, 2021 · As I understand it, the contrapositive of a conditional statement is where we take a conditional statement and both 1) flip the hypothesis and conclusion and 2) negate the q and p so we …
Logic: Showing that a conditional statement is false.
Nov 9, 2021 · To say that the conditional is false does that imply anything other than that statement q is false when p is true. Does it say anything about the other truth table positions?
Why isn't a "vacuously true" statement simply said to "not apply"?
Nov 10, 2024 · A conditional is defined as being true whenever its condition/hypothesis is false, and a "vacuously true" conditional just means that it is unable to reach any conclusion simply due to a false …
Negation of "If ... then" statements - Mathematics Stack Exchange
Jan 25, 2020 · The person is a child and the person is drinking whiskey. Notice that the second statement describes exactly the opposite situation to the first statement. In other words, the second …
Understanding the p implies q statement - Mathematics Stack Exchange
Aug 7, 2021 · The p implies q statement is often described in various ways including: (1) if p then q (i.e. whenever p is true, q is true) (2) p only if q (i.e. whenever q is false, p is false) I see the truth t...
Proving a conditional by assuming the antecedent
Oct 3, 2021 · My question is about proving the conditional statement true in propositional logic or math. In proving conditionsal statements, a lot of proofs assume the antecedent is true and then show that the
Conditional Statements: "only if" - Mathematics Stack Exchange
Dec 30, 2016 · I understand the conditional relationship in almost all of its forms, except the form "q only if p" What I do not understand is, why is p the necessary condition and q the sufficient condition.
Why are conditional statements assumed to be true?
May 25, 2021 · A conditional, or any statement for that matter, can be considered to be true when it's "not false". Now, in your example, if you never even show up for work on Monday, there's no way …