for example some say that mass cannot be infinite because if space and mass are both infinite then the mass would take up all the space... this again is a failure in the concept of infinity

I can explain this by using an analogy (as much as I hate analogies as they are cop out BUT...) if I had a piece of string that went for infinity and every 1 cm along that piece of sting I tied a knot, the string would still go for infinity, there would be an infinte amount of knots and and still an infinite amount of space in between those knots