A trivial refutation of one of Dingle's Fumbles (Ref: Talk:Herbert Dingle Archive)

On page 230 in this appendix to "Science At the Crossroads", Dingle writes:

(start quote)
Thus, between events E0 and E1, A advances by   and B by   by (1). Therefore
 
...
Thus, between events E0 and E2, B advances by   and A by   by (2). Therefore
 
Equations (3) and (4) are contradictory: hence the theory requiring them must be false.
(end quote)

Dingle should have written as follows:

(start correction)
Thus, between events E0 and E1, A, which is not present at both events, advances by   and B, which is present at both events, by   by (1). Therefore
 
...
Thus, between events E0 and E2, B, which is not present at both events, advances by   and A, which is present at both events, by   by (2). Therefore
 
Equations (3) and (4) are consistent and say that any event's coordinate time is always larger than its proper time:

hence there is no reason to say that the theory requiring them must be false.

(end correction)
 

DVdm 12:18, 6 August 2007 (UTC)