sandman

Why not avoid all the redundancy by putting b1 in the next room aN+1?

If you were religious, you would know it's the Devil.

A sample portion of an infinite list as proposed by Cantor. s1 000001... s2 101010... s3 001100... s4 100000... s5 100001... s6 100111... s7 101100......

We are discussing a point as being dimensionless. The stake, blob, pixel, is used to give the point some visibility. The point has to be associated wi...

This seems similar to the Schrodinger's cat example. The uncertainty lies in the radioactive sample, not the cat. The uncertainty lies in the dynamics...

Metaphysician Undercover; You should be aware that the mind is image oriented. It creates, analyzes, and stores images. Vision is the dominate sensory...

Infinity is not an integer, or any type of number, and definitely not a quantifier. It's a relation/condition of having no limit or boundary. Measurem...

If 'the cardinality of N and E are equal', means there are as many elements in N as E, I can accept that. That however does not justify the statement ...

That's the short version of my thoughts.

The clock synch convention sends light signals in opposite directions to equally distant clocks. A typical outside observer describes the light transi...

The set of natural numbers N = {1, 2, 3, 4,...} The set of even numbers E = {0, 2, 4, 6,...} Putting all the fancy terms aside, by inspection, in some...

Eternal: without beginning and end. That should qualify as ‘infinite’ or without limit. Neither Aquinas nor any other human has any concepts to unders...

"That light requires the same time to traverse the same path A to M as for the path B to M is in reality neither a supposition nor a hypothesis about ...

A measuring rod is divided into arbitrarily defined standard units. Spatial measurements are made for an object by corresponding locations of the obje...

This is common to forums, which over time develop a collective attitude. It's a form of censorship which empowers people to remove whatever they don't...

My notes from forum exchanges on Special Relativity, and it's role in 'time'. What is time? The operational definition of assigning a time to an event...

Human experience does not contain anything without end/limit. Finite provides boundaries that allow measurement. Mathematics tries to manipulate the i...

The circle is present in many natural forms, since the beginning of humanity. The moon, an egg, a flower, a coin, pottery, fruit, tree rings, etc. It ...

Experiments are typically done in an isolated environment to eliminate outside influences. Even with a mechanical tossing arm, at a microscopic level,...

I wouldn’t label it ‘superstition’, but an abstraction, like point, line, circle, the continuum, etc., all mental constructs for purposes of measureme...

a quote by Cantor, Source: Ewald, W., From Kant to Hilbert, Oxford 1996. "" We know what Cantor thought. Cantor was most concerned with his standing i...

An actuary can predict, from a group of 100 senior people, 10 will die within 15 yrs. He just can't specify which individuals. Statistics is relative ...

Tim; 'indoctrinate' cause to believe something: to teach somebody a belief, doctrine, or ideology thoroughly and systematically, especially with the g...

Your post helped me to clarify my view. If 'there are as many even integers as integers' is replaced with 'my new set has as many elements as E', then...

I read Cantor's biography. It helps to understand his motivation to write. I agree, ignorance is abundant.

"B knows the initial states" But he cannot know the future with certainty. Some factor that will intervene causing variation. The Neil Armstrong moon ...

Here is a paper that questions the 'diagonal argument'. https://app.box.com/s/vdop6iqhi8azgoc2upd76ifu8zacq8e4

When JFK was assassinated, the general population could not accept that an ordinary individual could remove a popular public figure, so some thought i...

I don't presuppose a finite stick. They are the norm. Given the definition of infinite, without limit or boundary, and the fact that infinite is not a...

Can't elaborate on my response. There is no human experience with 'infinite' unbounbded/without limit entities. Cantor was an illusionist, who fooled ...

The statement " there are as many even integers as integers", is typically demonstrated using a 'one to one' correspondence as shown. N: 1 2 3 4 5 6 ....

'S married to S' is not defined. It would allow same sex marriage.

"Why does a system whose outcomes we can actually predict behave as if we can't do that? That's what bothers me. Thanks." In an ideal world, human kno...

It is a real physical object as it exists in the mind, a neural pattern, in the field of medicine. The problematic term is ‘infinite’. The mind has no...

The reference set, eg. the set of integers, is a mental construct, used in the process of counting, a practical convenience. Counting is the most fund...

The symbol '4' represents the multiplicity/quantifier of a set of elements. The quantifier of a set, removes all attributes of the elements, color, ge...

If position is relative to an object, then so is motion.

Newton stated an object at rest and an object in motion remain in that state unless acted on by a force. Position of an object is relative to a refere...

Neither Newton nor Lorentz suggested a unit of measure for 'rest'. Measurement is the validation tool of science. How do you measure 'rest'?

I think most people miss the point of Zeno's motion paradox. The introduction of an infinite series is not a solution, and would actually support his ...