T
tonyrey
Guest
[/QUOTE]what need could there have been for such concepts before there were human beings who could wield them?There was no need for them but the reality to which the concepts refer existed nevertheless. Things or facts don’t cease to exist just because no one needs them or is aware of them. Science doesn’t consist solely of inventions but mainly of discoveries. And it is not primarily the existence of things but how they are related. Seeing things is not enough. You need to interpret and understand what you see. There is far more in life than the evidence of your senses…i don’t see any mathematical truths as arbitrary. rather they are all created for some human purposes.
It has nothing whatsover to do with essences but facts. If you deny facts exist you are left without knowledge because knowledge is composed of facts.you speak as though 2-ness is a fundamental platonic essence or something. plato thought sick people have an excess of “fever” and that odd numbers lack “duality.” thankfully, philosophy has finally gotten past plato in the past hundred years or so.
So before humanity existed there weren’t two atoms of hydrogen and **one **of oxygen in water?it is one thing to think that the invention of 2-ness was as inevitable for humanity as the invention of the wheel or the incline plane, but quite another to think that such a concept could exist without minds to invent it and to contain it.
You cannot deny that rocks fell due to gravity. The term did not exist but the phenomenon existed exactly as it does now. The **reality **of gravitation preceded our awareness and description of it. It preceded our awareness and description of it. Nothing has changed about the fact of F = mg, where m is the mass of the body and g is a constant vector with an average magnitude of 9.81 m/s2. Our thoughts and language have not created the physical constants of the universe.rocks of course still always fell to the ground when dropped, but there was no such thing as the laws of gravity or gravity itself before newton.
The numerical expressions and equations and tractors we create are based on our knowledge of the precise ways in which physical objects are **related to one another. Precision implies mathematical distinctions. Even before objects were counted and measured they were countable and measurable. Animals had to estimate distances, speeds and weights in order to survive. Human beings have become more accurate at describing the facts by using arbitrary units to describe them. The speed of light is expressed differently in the imperial and metrical systems but the distance/time ratio is an objective fact. **And ratios of course necessitate numbers. What else?2 is not a fact. numbers aren’t facts. we create tools like numbers and equations and tractors to cope with the world.
No but windows 98 was invented and is based on numerical units which were not invented. Physical and chemical substances have mathematical properties independently of man.does the fact that windows 98 was invented make it an illusion?
A hammer is physical whereas a number is abstract. A hammer is a tool designed by man with a hard metal which has natural properties not designed by man - such as its density, i.e. the ratio of its mass to its volume. That ratio is a **mathematical **constant.What then do the binary, decimal and hexadecimal systems refer to?
refer to??? what does a hammer refer to? these different number systems are similar and related tools for solving similar human problems.