[Rob1968]

I tend to agree with Camron, that the situation is in between the two rules -- traveling and double dribble. 4-15-1 defines a dribble as "... bats (batting) or pushes (pushing) the ball "to the floor" and in the case of a player catching the ball before it hits the floor, the basic definition of a dribble has not been met.
Also, 4-15-3 defines the manner in which a dribble is started, and uses the same qualifier "to the floor", which indicates that if the ball does not strike the floor, a dribble has not been started. Thus, to toss the ball, and catch it before it hits the floor, cannot be a dribble, nor could it be a double dribble, to do so, after the player had already ended a legal dribble.
Then, we have the definition of traveling with an integral part of the travleing definition refering to a player "holding the ball." So, a player tossing the ball into the air, after having established a pivot foot, and then moving that pivot foot before catching the ball, must not be a travleing violation, by the strict reading of 4-44.
We know that we would call the violation. But whether we clasify it as an illegal dribble, or a travel becomes a case of semantics.
(Isn't it ineresting how off-season discussions lend themselves to such thoughts and discussions?)