Recent content by Matth.ew

Thank you! I appreciate your time and patience in replying. In my mere opinion, it seems that you are quite well read on the topic; I shall certainly look through the suggested readings. That's certainly insightful that a "line" is an undefined term and that most mathematicians don't think of...

A definition of a line that then contains the word "line" in it, isn't exactly informative. Anyone whom has worked, or works, in academia understands that basic concept. Yes, I appreciate that distance isn't the same as a line but if you wish to be pedantic, to say "distance is a number", isn't...

Thank you for the insights. My goal (I think) was really to try to understand a strict definition of a straight-line because I'm only really aware of a definition of a straight-line as "the shortest distance between two points" and whilst I studied Mathematics at A-Level (in Britain), I am, as...

I think I can begin to understand the premise of your counter-example of "what is the number 1 made of?", however, I think it is pertinent to say that, to most people if they were asked what is a straight-line and referring to a particular example (such as, a "straight-line" drawn on a piece of...

I think that clarifies things for myself and was somewhat as I imagined it to be. Thank you for you time!Kindest regards, Matt.

If straight-lines aren't made up of two-dimensional objects such as squares, triangles and the like, what are they said to be made up of? And also, what is said to actually be a strict definition of a "straight-line"? I'm merely wondering and it is inquisitiveness and not argumentative-ness :)...

I was trying to express (although I obviously could've done more clearly), that if one takes, for instance, a "straight-line" drawn on a piece of paper with a pencil, then a shape of a "straight-line" would be seen by the naked-eye; however, that "straight-line" could presumably be...

Hi,I was just wondering if someone could provide clarity on this matter: that if a straight-line is initially defined as "a shape that forms the shortest distance between two points" and conceptualising that shape [that forms the shortest distance between two points] as one that, at an...

Thanks for taking the time to reply, it was most informing.

Mod note: I inserted the exponents shown in red, below. The OP intended that they be there, but was unfamiliar with the BBCode for exponents. I immediately saw my oversight about the argumentation of "0" pertaining to the "0 - -a =0" once you highlighted it, as you say, there would have to be...

So, I'm to understand that "0 - -a = a" and I can understand this, in the context of say, being at an arbitrary reference point called "0" and then on a 2 dimension Cartesian graph of + shape and the operator "-", which can mean to reverse (so turn around 180 degrees) and then the second minus...

Thanks. Much appreciated. Both very interesting and good to know responses.

4rth/5th coordinate?* Hi, I'm just wondering: if there is an entity in space, which can be located with Cartesian coordinates in the 3 dimensions of say, 2 right (from a seemingly arbitrary reference point), 2 up, and 2 forwards, then at this point (2, 2, 2), an entity could also be spinning at...