Is there objective Truth?

[pocaracas]

If pi is the ratio of a circle's circumference to its diameter in all possible worlds then it was discovered and not invented.

If my eyes are brown in all possible worlds, the word 'brown' was still invented to describe the color brown. Mathematics can be used to describe something precisely. It being a very precise form of language doesn't mean it wasn't invented.

I think you guys are nitpicking a bit too much...

The wavelength that conveys the color brown (not that that one really exists per se... it's more of a set of wavelengths that give us that perception... we should be using a yellow, but whatever) is the same regardless of the language you use, regardless of the representation that is used. For example, RGB=#8B4513 is one such representation.
The representations are invented, yes.
The color itself is always the same. Has the same composition. Exists regardless of a sensing apparatus... light will do its stuff...

A mathematical concept can exist regardless of the formalism employed or even if no formalism is ever employed
The awareness of such a concept requires a conscious mind, but the abstract notion it embodies, like that of PI equaling the ratio between a circle's circumference and its diameter, is true for all perfect circles, regardless of there being a consciousness thinking about it.... regardless of how this consciousness decides to call the quantity we call PI.

If there is no consciousness thinking or knowing about such a concept, then the concept is not actualized... it is unknown. It can be discovered.

But what does it mean for an abstract concept to exist?
Is existence here being employed in the same way as the existence of an electron? An electron can be said to have a physical representation, right?, width, height, energy... the whole shebang!
Or in the same way as the existence of the Force from Star Wars? an abstract fictional concept?...
Maybe some other way, huh?...

It is important not to fall for the trap of using the same word to represent two different concepts and then follow along as if they're both the same concept... the one you want.



I will often tell people that God exists in much the same way that Darth Vader or Harry Potter exist. As concepts planted in human minds, originating in works of apparent fiction. And believers will often be annoyed by this, because they want their god in the other kind of existence... the electron kind.... "but immaterial... it's complicated" yeah.... I know it's complicated. I like to remove the complication by cataloguing god as fiction... that solves every single complication that arises.
In fiction, we can do what's called "Willing suspension of disbelief", and roll with it.