Alright fine. You put in a very clear way “some meat on those bones”
It’s fine if you and I have to repeat ourselves at times…
1.) “algorithms are finite sequences)
Me: this is tautologically true; if an algorithm is infinite, it never stops to yield an output!!!
2.) “infinite sequences are infinite sequences”
Me: true, but also definitely false.
1/9 = 0.111…
Your word “are” also means “equals” in my case above, a finite expression “is” (are) equals an infinite expression.
3.) “algorithms can only be sequences of instructions”
Me: algorithms are finite instructions that imply the sequence. (Not sequences of instructions (You had it backwards)) Some are finite, some are infinite.
4.) “infinite sequences can be sequences of anything”
Me: umm… this is obviously not true. You’re going to kick yourself here. Sequence:(1,2,3) end sequence! Obviously that’s not infinite. The difference between you and I in this discussion is that I KNOW WHAT YOU MEAN!! So I’m not going to hold it against you!!
Let me take this to a side discussion… I used to HATE song lyrics (they always contradict themselves) and then I realized “but I still know what they mean”. And I don’t hate them as much. You contradicted yourself big time here, but I still know what you MEAN!!
What you meant to say is that “any variable can be used as an infinite placeholder”… that’s what you MEANT! You often don’t afford me the same luxury! (Which is why I get so frustrated with you)
5 and 6 are Simply syllogisms that imply the first 4 are true