Is there any relation between the numbers used in the blue lodge degrees in the mathematical sense?
Yes, there is a significant relation between the numbers used in the Blue Lodge degrees and mathematical concepts, particularly in the context of geometry and symbolism. The most notable example is Euclid's 47th Problem, which involves a right triangle with sides in the ratio of 3:4:5. This problem is introduced in the Entered Apprentice degree and further explored in the Master Mason degree, emphasizing the importance of geometry and the arts and sciences.
Moreover, the numbers 3, 4, and 5 are considered sacred in Freemasonry, representing the steps in Masonry: the Entered Apprentice (3), Fellowcraft (5), and Master Mason (7). These numbers are also linked to the Winding Stair of the Fellowcraft degree, which symbolizes ascent and the pursuit of knowledge.
As noted by James C. Stewart, "Three, five and seven are indicative of the three degrees, and the numbers correspond to the steps in the masonic system". The use of geometric tools like the square and compasses further illustrates the integral role of mathematics in understanding nature and the universe within Freemasonry.