site banner

2+2 = not what you think

felipec.substack.com

Changing someone's mind is very difficult, that's why I like puzzles most people get wrong: to try to open their mind. Challenging the claim that 2+2 is unequivocally 4 is one of my favorites to get people to reconsider what they think is true with 100% certainty.

-34
Jump in the discussion.

No email address required.

you argued that (2+2=4) is always standard arithmetic

No, I didn't. If you believe otherwise, cite where I said it. Or stop misrepresenting me.

As I pointed out numerous times, by 2+2=4 in this context you meant in standard arithmetic

So you're "pointing out" to me what I meant. Have you considered that I can read my mind better than you can? After all, when someone talks about your position elsewhere , you're quick to call it out as assumptions. And when I offer clarification, you ignore it, only to repeat your strawman two posts later.

Obviously I meant "with unspecified context", because that was the example we were talking about. Yes, people don't know you're sneakily talking about modular arithmetic - but "2+2=4" is still true, so people are giving the correct answer, despite the confusion.

That was my clarification. I've had a lot of patience with you, but I can't really have a discussion with someone who talks to their own caricature of me and ignores what I actually say.

if 99.9999% of people think (2+2=4 in standard arithmetic) that does not equate to 99.9999% people thinking (2+2=4 (mod 4))

You weren't asking about 2+2 (mod 4) though. You were asking "2+2=" without context, and people answer "4", which is correct.

If they interpret the meaning of the string "2+2=" different than you, that's not anyone being wrong, that's just a misunderstanding caused by your bad communication. But luckily the misunderstanding doesn't matter, because the answer is correct in either interpretation.

You weren't asking about 2+2 (mod 4) though.

No, I was asking about 2+2 (no context), as I have been made it clear countless times.

You were asking "2+2=" without context, and people answer "4", which is correct.

False. 2+2 (standard arithmetic) is different than 2+2 (mod 4), and 4 (standard arithmetic) is different than 4 (mod 4).

After many questions you finally accepted that:

(2+2=4 in standard arithmetic) and (2+2=0 (mod 4)) are not the same statement.

Are you going to backtrack from that claim?

No, I was asking about 2+2 (no context), as I have been made it clear countless times.

You're confused. I'm the one who pointed out several times that your "2+2" was lacking context.

I'm glad we're on the same page now though.

2+2 (standard arithmetic) is different than 2+2 (mod 4), and 4 (standard arithmetic) is different than 4 (mod 4).

And "2+2=4" is correct both in SA and (mod 4).

2+2 (standard arithmetic) is different than 2+2 (mod 4), and 4 (standard arithmetic) is different than 4 (mod 4).

And

Is that an admission that what most people think (4 (standard arithmetic)) is different than (4 (mod 4))?