An enquiry concerning the principles of natural knowledgeWhitehead, Alfred North
Philosophy
An enquiry concerning the principles of natural knowledge
Whitehead, Alfred North
Knowledge, Theory of; Science -- Philosophy; Space and time
52.9 There is however one objection to the hyperbolic type, as
compared to the parabolic type, which is worth considering. In the
hyperbolic kinematics there is an absolute velocity with special
properties in nature. The difficulty which is thus occasioned is rather
an offence to philosophic instincts than a logical puzzle. But certainly
our familiar experience, in some way which it is difficult to formulate
in words, leads us to shun the introduction of such absolute physical
quantities. This particular difficulty is largely diminished by noting
that the existence of with its peculiar properties really means
that the space-units and time-units are comparable; namely, there is a
natural relation between them to be expressed by taking to be
unity. Either the time-unit would then be inconveniently small or the
space-unit inconveniently large; but this inconvenience does not alter
the fact that congruence between time and space is definable. Always
when a possible definition of congruence is omitted, such absolute
physical quantities occur. The fact that, so far as time and space are
concerned, the existence of a congruence theory seems paradoxical is due
to absence of any phenomena depending on that theory except in very
exceptional circumstances produced by refined observations.
PART IV
THE THEORY OF OBJECTS
CHAPTER XIV
THE LOCATION OF OBJECTS
53. Location. 53.1 We conceive
objects as located in space. This conception of location in space is
distinct from that of being situated in an event, though the two
concepts are closely allied by a determinate connection. The notion of
the situation of an object is logically indefinable being one of the
ultimate data of science; the notion of the location of an object is
definable in terms of the notion of its situation.
An object is said to be 'located' in an abstractive element if there is
a simple abstractive class 'converging' to the element and such that
each of its members is a situation of the object.
In general when an object is located in an abstractive element there
will be many simple abstractive classes converging to the element and
such that each of their members is a situation of the object. In any
specific case of location usually all abstractive classes of a certain
type will possess the required property.
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