If someone says, "Academics are wrong 1+1 is really 3 join me in exposing the truth" - that's empirically wrong.

While I agree with you. Framing and perspective can change a lot of things.

1+1 could be concatenation if it is strings. Thus it would be eleven. (11).

If it were binary the first digit is worth 1, and the second is worth 2 so add them together you get 3. Yet you used a mathematical operator so anyone that tried to push that narrative would be making crap up. 1+1 in binary would be 01 or 10 depending upon whether you are using Little Endian or Big Endian but the value would still be 2. Making what you are talking about correct.

I can't think of any case where 2+2=5 is true though. :)

"empirically true" requires carefully defined constraints and rules of discussion. If those are defined then yes there are things that are certain.

If they are not true then perspectives can make things be out of alignment. It thus becomes important to set up definitions and expectations before debating/discussing something.

Also people hide behind TRUE frequently. TRUTH itself is subjective. What you consider truth will be based around YOUR knowledge, the things you have observed, etc. Since there are things all of us don't know as we learn new things our TRUTH can shift.

The things that don't shift are the things we generally refer to as FACTS. While TRUTH and FACTS are often treated as synonyms they are actually not.

Isn't philosophy a fun thing... it keeps us mentally dancing.