Do mathematics have any boundary to be applicable in biology?

The answer to the title questions appears to be in the negative, at least since the scientific revolution when nature began to be seen as a book written in the language of mathematics. This approach is going to develop further and, by the xxth century, brings forward what I will call a cheerful amazement as exemplified in Wigner 1960 and others. I contrast this attitude with those we my find in several areas of biology where the charm is clearly absent and, as much, a very utilitarian approach is taken. I end up with a brief mention to open-ended evolution as a material case of infinity right at the center of biology.