# Is it OK to see time dilation and (relativistic) mass increase as phenomena that avoid $c$ being reached? And how about length contraction?

I think I have been exposed since years ago to this line of reasoning:

if $v\to c$, then $\Delta t \to \infty$. As $\displaystyle v=\frac{\Delta s}{\Delta t}$, it's like a natural reaction to some massive object approaching light speed in order to prevent $v=c$.

Similarly, if $v \to c$, then $m \to \infty$. As $F=ma$, accelerating the object needs more and more force, so that $c$ is ungraspable.

Is this thinking correct or simplistic and even worse? Is there, anyway, an analogous explanation of length contraction?