Steve Agnew,
I read my last message after posting. It is apparent to me that my response to your message needs to be clear. I have removed the typos and reworded portions. here is the new version. I will reread it also in the morning. I hope to at the least make my position clear for those readers in general.
"So you say there are four certain properties: space, time, mass, and force."
Yes that is what patterns in changes of velocities of objects with respect to time teach us.
"Cs-133 defines time, defines space, and defines mass. For force, you are on your own since force is kg m / s^2 and once you define space, time, and mass, force then follows."
Cs-133 does not define time, space, or mass. There is no definition for time because time has no pre-existing properties by which it can be defined. Space is not defined because there are no pre-existing properties by which it can be defined. Time and space are naturally indefinable properties. Their physics substitutes of length and duration are also indefinable because there are no pre-existing properties by which they can be defined. They are the properties of empirical evidence. The empirical evidence is the starting point. Physics knows nothing that other than what empirical evidence makes known.
"So you can explain time by Cs-133 and space by Cs-133, but you cannot explain mass by Cs-133 even though you can weigh Cs-133...because mass to you is undefined...but to everyone one else on the planet, the IPK defines mass just like weighing Cs-133 might also define the kg."
"Your logic eludes me...space you say gives us room to move...which is space. You define space with space, which is an identity."
I did not define space. Space is naturally indefinable. Physics learns nothing about space from effects other than objects have room to move around in. This limitation does not enter into physic equations because space has never been represented in physics equations.
"Time passes, you say, and what does passing mean? Time. Once again, you define time as time, another identity."
I did not define time. Time is naturally indefinable. Empirical evidence tells us only that effects occur that take time to occur. Time has never been represented in physics equations as a property. Effects are evaluated against object activity instead of against the inaccessible property of time.
"Correspondingly, mass is the stuff that things are made of...and things are made of mass...once again, an identity."
There is no correspondence between time and space lacking definitions and mass lacking a definition. Time and space lack physics definitions because physics has no empirical evidence to evaluate that pertains to either of them. Physicists work with empirical evidence that consists of patterns of changes of velocities of objects with respect to time. Now, I have followed custom when describing acceleration in textbook fashion and have used to word 'time' when its meaning is clearly duration. The 't' in physics equations has never represented time. It has always and only represented duration. The unit of second used by physicists to help measure action has always been a unit of duration based upon other object activity. There is no unit for time. Time has never been represented in physics equations as a property.
"These properties are all axioms and are therefore things in which we must simply believe. We make sense out of the universe by believing in mass, space, and time"
Definitely not true. Mass is revealed to us by empirical evidence consisting of patterns in changes of velocities of objects with respect to time. Mass is not a belief. It is inferred to exist directly by empirical evidence. Empirical evidence is not a belief. It is the source of knowledge for physics.
"You make sense out of the universe by anchoring your consciousness with beliefs and so you do believe in mass, but insist that it is not defined. I do not get it."
I do not 'believe' in mass. I learned about mass from empirical evidence. There is no belief needed. Mass is the property responsible for the variations in patterns of changes of velocities of objects for a constant force.
Mass in a fundamental indefinable property. It has been mishandled by theoretical physics from the time it was recognized to exist. Mass is not defined anywhere in physics. Please provide the equation that defines mass. Mass has been recognized as a fundamental indefinable property by physicists ever since it was introduced into physics equations. Do you remember learning that all properties of mechanics are definable using just three fundamental indefinable properties? Is this familiar?
James Putnam