> A Republic is a land of laws.

A republic is a land where political authority isn't formally heritable personal property (e.g., basically a not-monarchy), a republic can also (like the US) be a representative democracy. It can also be an authoritarian dictatorship. It can also be a direct democracy.

> A republic bound by a constitution cannot be a democracy of any sort.

You clearly are using "democracy" in a very peculiar sense. If you narrowly define "democracy" as "lawless mob rule", then your statement is true, but that's not what the word democracy is generally used to mean when discussing political systems.

Even accepting your personal definition of "democracy" to mean "pure majority rule", constitutions typically have provisions for modifications by majority vote. So a being "bound by a constitution" does not eliminate majority rule.

That definition is anything but personal and carries the history of the democratic system prevalent at the time the term was coined. Just because you decide to use the same term for everything now doesn't mean that the original definition is "personal".

Democracy never meant "mob rule". Even in Athenian democracy, few things were decided by actual majority rule. Never in history has there been a democracy where pure majority rule was the typical case.

So yes, it is a personal definition. Scholars don't use this definition. Pundits don't use this definition. The common man doesn't use this definition. It's a BS definition, and if it weren't, it would be pointless and redundant because "majority rule" captures this already.

"A democracy is a land of majority rule"

That's where you're wrong. A democracy is a state where people have (or nominally should have) equal power to affect society's collective decisions. Not all implementations of "majority rule" meet this criterion.

Political decisions affect everyone, thus everyone should have an equal share in determining which ones we take - at least a priori.

We can cede some power if we decide that a certain class of questions are none of our business (for instance, delegate some decisions to a local level, or give Sharia courts jurisdiction over their adherents to take an uglier example). Or declare that some questions are non-political in nature, and should be decided by some sort of experts. But the decision about what is our own business must always be our own business.

Another way of saying the same is that all legitimate government comes from the people - as opposed to e.g. the divine right of kings, or a "natural" aristocracy.

> A democracy is a land of majority rule.

How can you have that without at least a one line constitution that says, more or less, "The majority rules"? You beg the question, sir.

You very narrow definition of "democracy", majority rule without a constitution, isn't possible. Thus your definition is useless and therefor meaningless.

You don't get to narrowly define democracy to mean "mob rule" and expect people to use your meaningless definition. This is not the original nor the currently accepted definition and pretending that everyone should use your personal definition will not make it true.

“Experience keeps a dear school, but fools will learn in no other, and scarce in that.”