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 …
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 …
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 …
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 …
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.
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
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 understand why …
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?
About proving conditional statements outside formal logic
Jan 20, 2025 · Conditional stamtents don't involve reasoning about all models. Instead, we are working in some particular mathematical model, say the striucture of the the natural numbers, and find that …