P
Perplexity
Guest
I don’t think this is about intelligence at all, it’s about education. You may very well be more intelligent than I am (to be honest, I haven’t seen any reason to think so though), but you simply don’t know what logical validity is. Also, I don’t think you have any business pretending to philosophize when you refuse to learn. I know many Christians more intelligent than I, it has nothing to do with this.Read the rest of the post that you decided to leave out. Or are you incapable of aknowledging that which refutes your arrogance?
Perhaps you can’t stand the idea of a Christian being more inteligent than you.
I’ve read that sloppy post several times now and not once do you define logical validity. So, how about answering the question? I understand this is probably an embarrassing process but that’s good (we all go through it). You need to learn:
“If the specific form of a given argument has any substitution instances whose premises are true and whose conclusion is false, then the given argument is invalid. We may define the term “invalid” as applied to the argument forms as follows: An argument form is invalid if and only if it has at least one substitution instance with true premises and a false conclusion…Hence an argument form is valid if and only if it has no substitution instances with true premises and a false conclusion. And since validity is a formal notion, an argument is valid if and only if the specific form of that argument is a valid argument form.” [1]
Argument forms are to particular sentences as algebraic formulas are to numbers:
Logical Form:
- If p, then q
- p
- Therefore, q
Algebraic Formula:
(x) + 2 = 5
An Instance of this Logical Form:
- If I’m hungry, then I should eat.
- I’m hungry.
- Therefore, I should eat.
Instance of this Algebraic Formula:
(3) + 2 = 5
So, when we look at arguments with specific sentences as their premises (like the example above), we try to look behind them to discern the form (or forumla) they’re being plugged into. Once we find that form, we can discern whether its premises can be true and its conclusion false at the same time. If that can occur, the argument is invalid. Otherwise, it’s valid. We discern this by use of truth-tables (there are many other methods). That is, we list all the possible truth-values the premises and conclusion can take in all their possible combinations, and if there is any instance where the premises are both T (or 1), and the conclusion is F (or 0), then it’s invalid.
So, we the truth-table for the above logical form is as follows:
p | q | p → q (if p then q)|
T | T | T |
T | F | F |
F | T | T |
F | F | T |
F | F | F |
‘p’, and ‘p → q’ are the premises and ‘q’ is the conclusion. Do you see any row above in which ‘p → q’ and ‘p’ are T, but ‘q’ is F? No. So the argument form is valid, and so are any arguments taking that form. It’s known as Modus Ponens.
There are many ways to translate your argument into logics because it doesn’t make sense: it never totally translates into any logic. Here’s another try:
- O
- P & ~I & A
- ]R & ∀(x) (S(x) → T(x))] …idk
So, please. Tell us what logical validity is, and why your argument is such?
“It seems that I am wiser than he is to this small extent, that I do not think I know what I do not know.” - Socrates
[1]
Irving M. Copi, Carl Cohen. Introduction to Logic, 12th ed. Upper Saddle River, NJ: Prentice Hall, 2005. p. 336
“An argument is valid if it would be contradictory (impossible) to have the premises all true and conclusion false. In calling an argument valid, we aren’t saying whether the premises are true. We’re just saying that the conclusion follows from the premises – that if the premises were all true, then the conclusion also would have to be true…Our argument is valid because of its logical form – its arrangement of logical notions (like “if-then” and “not”) and content phrases (like “You overslept” and “You’re late”).” Emphasis mine. Gensler, Harry. Introduction to Logic. New York: Taylor & Francis, 2010. p. 3.