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Pag_Hingowa
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If yes, they are different in what ways?
Math is a collection of systems for making inference preserving metaphors. It often makes use of numbers, but not necessarily so. The mapping between a system of math and the system it is being used on isn’t universal. Something that may be mapped ton infinity for one system might not be mapped to infinity for another.If yes, they are different in what ways?
Maths is the purely theoretical study of numbersIf yes, they are different in what ways?
That’s applicable when you are using the mapping between digits a set sizes(set theory). For other mappings, such as those used for boolean algebra it’s a little different. 1+1=1. Also if some one is using a different number base the result could be expressed differently (under base 2 the expression 1 + 1 =10 evaluates as true).Maths is the purely theoretical study of numbers
1+1 = 2. that applies whether you are talking about atoms, people, gallons, photons, data in a computer or anything else.
Math is the language that physics is written in.
Physics is the description of the sensible universe written in the language of math.
Capisce?
ICXC NIKA
:thumbsup:IThat is the best short and simple explanation I can think of, and I have degrees in both.Math is the language that physics is written in.
Physics is the description of the sensible universe written in the language of math.
Capisce?
ICXC NIKA
No mystery at all.I’d say math is an investigation into the beauty and symmetry of logic and numbers and similar abstract entities. A true mathematician is often rather happy that he’s found something so esoteric that there can be no application in the real world.
Physics is the application of math to the real world to discover how the world works. Physicists like to take the most esoteric parts of math and figure out how they apply to the world.
The great mystery in all this is why Math should so well fit the Physical world.
My wife is a physicist, and I am an engineer.Math is the language that physics is written in.
Physics is the description of the sensible universe written in the language of math.
Capisce?
ICXC NIKA
That’s turned around; it’s math that is physical. Math is the effort of the physical human head to understand and quantify the physical world.Why is math (a very non-physical discipline) such an excellent match in describing the physical world? Why is the physical world so mathematical?
Still, you have not made an argument why math should be so good at describing the physical world. After all, I could argue analogously that psychology is the effort of people with psychological minds to describe how their minds work–and look at how little progress they’ve made in coming up with good theories useful for describing the mind. Or economics–that even is based, in principle, on math–and yet economists come up with new theories all the time, and none of them do very well at predicting what is to come. Why does math work so well, even the parts that mathematicians know will be too esoteric to apply?… it’s math that is physical. Math is the effort of the physical human head to understand and quantify the physical world.
ICXC NIKA
The physical world is not so mathematical. Physics is just the formulation of the simplest models to explain measurable reality. Math is the simplest methodology to describe such models.Why is math (a very non-physical discipline) such an excellent match in describing the physical world? Why is the physical world so mathematical?
Because quantification is part of the nature of the physical world, and it seems that our human head is innately capable of processing quantification (according to some neurological studies). Our human bodies embody the principles of physics, and our minds understand through our bodies. A longer lever exerts more force; that is how limbs work. Faster movement requires more energy; so we breathe more while running than at rest. Etc. Math is the language of quantification, which is in the nature of physics.Still, you have not made an argument why math should be so good at describing the physical world. After all, I could argue analogously that psychology is the effort of people with psychological minds to describe how their minds work–and look at how little progress they’ve made in coming up with good theories useful for describing the mind. Or economics–that even is based, in principle, on math–and yet economists come up with new theories all the time, and none of them do very well at predicting what is to come. Why does math work so well, even the parts that mathematicians know will be too esoteric to apply?