Fast Growing Hierarchy Calculator Info

Building an FGH calculator is not like building a standard arithmetic calculator. You cannot simply store numbers as 64-bit integers. The output for ( f_\omega+1(10) ) is so astronomically large that even representing its logarithm would overflow memory. Therefore, a real FGH calculator must operate in one of three modes:

However, there is a critical nuance:

Building a calculator for this hierarchy requires bridging the gap between standard arithmetic and ordinal arithmetic. fast growing hierarchy calculator

class FGHCalculator: def __init__(self): self.steps = 0 self.max_steps = 10000 # Safety limit to prevent infinite loops Building an FGH calculator is not like building

To truly understand the tool, you should build a simple version. This handles only the Wainer hierarchy below ε₀. Therefore, a real FGH calculator must operate in

A calculator for this hierarchy allows users to input an ( ) and a natural number (