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According to Einstein:

All our well-substantiated space-time propositions [and consequently, all of our statements concerning facts and findings in physics] amount to the determination of space-time coincidences. If, for example, the [course of events] consisted in the motion of material points, then [...] nothing else are really observable except the encounters between two or more of these material points.

where "determination of space-time coincidences" is thought, at least in principle, to be unambiguously, definitively and consistently obtained by each individual participant.

The statement that

the laws of physics are invariant (i.e., identical) in all inertial systems (non-accelerating frames of reference)

can be understood as a less precise (possibly circular) and more restrictive formulation of Einstein's maxime quoted above. (It is based on Einstein's earliest, preliminary attempts at trying to express his maxime.)

(I obviously know what an inertial frame is)

Really?!? (cmp. "What determines which frames are inertial frames?", PSE/q/3193)Really?!? (cmp. "What determines which frames are inertial frames?", PSE/q/3193)

According to Einstein:

All our well-substantiated space-time propositions [and consequently, all of our statements concerning facts and findings in physics] amount to the determination of space-time coincidences. If, for example, the [course of events] consisted in the motion of material points, then [...] nothing else are really observable except the encounters between two or more of these material points.

where "determination of space-time coincidences" is thought, at least in principle, to be unambiguously, definitively and consistently obtained by each individual participant.

The statement that

the laws of physics are invariant (i.e., identical) in all inertial systems (non-accelerating frames of reference)

can be understood as a less precise (possibly circular) and more restrictive formulation of Einstein's maxime quoted above. (It is based on Einstein's earliest, preliminary attempts at trying to express his maxime.)

(I obviously know what an inertial frame is)

Really?!? (cmp. "What determines which frames are inertial frames?", PSE/q/3193)

According to Einstein:

All our well-substantiated space-time propositions [and consequently, all of our statements concerning facts and findings in physics] amount to the determination of space-time coincidences. If, for example, the [course of events] consisted in the motion of material points, then [...] nothing else are really observable except the encounters between two or more of these material points.

where "determination of space-time coincidences" is thought, at least in principle, to be unambiguously, definitively and consistently obtained by each individual participant.

The statement that

the laws of physics are invariant (i.e., identical) in all inertial systems (non-accelerating frames of reference)

can be understood as a less precise (possibly circular) and more restrictive formulation of Einstein's maxime quoted above. (It is based on Einstein's earliest, preliminary attempts at trying to express his maxime.)

(I obviously know what an inertial frame is)

Really?!? (cmp. "What determines which frames are inertial frames?", PSE/q/3193)

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According to Einstein:

All our well-substantiated space-time propositions [and consequently, all of our statements concerning facts and findings in physics] amount to the determination of space-time coincidences. If, for example, the [course of events] consisted in the motion of material points, then [...] nothing else are really observable except the encounters between two or more of these material points.

where "determination of space-time coincidences" is thought, at least in principle, to be unambiguously, definitively and consistently obtained by each individual participant.

The statement that

the laws of physics are invariant (i.e., identical) in all inertial systems (non-accelerating frames of reference)

can be understood as a less precise (possibly circular) and more restrictive formulation of Einstein's maxime quoted above. (It is based on Einstein's earliest, preliminary attempts at trying to express his maxime.)

(I obviously know what an inertial frame is)

Really?!? (cmp. "What determines which frames are inertial frames?", PSE/q/3193)