The Calculus of Credibility: From the City of London to the Steam Engine
In the previous lecture, we established that the Glorious Revolution (1688) wasn't just a political reshuffle; it was a fiscal "Big Bang." By shifting the power of the purse to Parliament, England created something the world had never seen: Reliable Sovereign Debt.
Now, let’s look at the Second Derivative of this change—how the simple act of "paying back debt" accelerated the world into the Industrial Revolution.
1. The Birth of the Secondary Market (The "City" Rises)
Once the British government proved it would always pay its interest, government bonds (consols) became the "Gold Standard" of trust.
The Mechanism: Because these bonds were safe, people didn't just hold them; they traded them. This created a massive Liquidity Pool in London.
The Result: The City of London transformed from a local trading hub into a global financial engine. If you have a market where you can safely trade government debt, you suddenly have the infrastructure to trade private debt and company shares.
2. Interest Rate Convergence: The Hidden Catalyst
Calculus teaches us about "Limits." In the 18th century, Britain’s interest rates hit a historical limit—they plummeted to around 3%.
The Economic Shift: When it’s cheap for the government to borrow, it’s cheap for everyone. For the first time in history, capital was "overflowing."
The Investment Incentive: When safe government bonds pay very little, investors start looking for higher "slopes" (returns). They began pouring money into risky, high-capital projects: Canals, Railways, and Mining.
3. Scaling the Steam: Capital vs. Innovation
Many people think the Industrial Revolution was just about James Watt’s genius. It wasn't. It was about Scaling.
The Problem: A steam engine is incredibly expensive to build and deploy. Without a sophisticated financial system (The City), Watt would have remained a lonely inventor in a workshop.
The Solution: Because London had the "Integral" of accumulated national savings and the "Derivative" of low interest rates, inventors could find backers willing to wait ten years for a return.
The Verdict: The Industrial Revolution was a "Capital-Intensive" event. Without the fiscal credibility established in 1688, the steam engine would have been a toy, not a titan.