Ultimately people aren't going to agree on what is valid or not. We are talking about ideas, not about real things. I don't think there is such a thing as a "real" quantity.
Post by twetch#1832
A theory that doesn't talk about real things, or makes no attempt at connecting fictions to the world, is a bad theory.
Math can talk about real things, and it can say important things about the world.
"Quantity" is a real feature of the universe.
What the chain says
- Block
- 662 212
- Time
- 2020-11-21T04:49:45Z
- Signer
- 1Jj8TsZnm1bosAJFjkbS8J2MckEGx6sGot
- App
- twetch
- Type
- post
- Content type
- text/plain
- Name in tx
- twetch#1832
Fields the transaction did not carry are omitted. Open the payload to see the bytes as stored.
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1Jj8TsZnm1bosAJFjkbS8J2MckEGx6sGot VerifiedReplies (13)
Is the distance along the diagonal of a square a quantity?
If we're talking about actually-existing geometric objects - not Euclidean nothings - then sure. A "square" is a composite object, made up of a finite number of points. The "diagonal" is another composite object whose units can be counted.
Ok then if one side of the square has distance 1, then the diagonal has distance sqrt(2). What else would you call the distance?
You're working within Euclidean geometry. Space is discrete, not continuous, so there are no "squares" that have a distance of 1 unit.
Create a square on your computer screen. You'll see it's composed of a countable number of units (pixels).