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 …
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 …
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 …
How do we know that the contrapositive, ¬q → ¬p, of a …
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 …
Logic: Showing that a conditional statement is false.
Nov 9, 2021 · The only way to show that the conditional statement p → q p → q is false, is if p: true, q:false. To say that the conditional is false does that imply anything other than that …
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 …
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 …
How can I understand vacuously truth? - Philosophy Stack Exchange
Jan 15, 2024 · Vacuously truth has two types conditional statements (if) and universal statements (all). I intuitively understand why conditional statements can be vacuous truth but I don'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 …
Understanding the p implies q statement - Mathematics Stack …
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 …