Explain the labour theory of value
The labor theory of value is a theory of economics that states that the value of a good or service is determined by the amount of labor required to produce it. This theory is based on the idea that human labor is the source of all economic value, and that the cost of a product should be proportional to the amount of labor required to produce it.

According to the labor theory of value, the value of a good is not determined by its utility (the satisfaction it provides to its users) or by the price that consumers are willing to pay for it, but by the amount of labor that went into producing it. In other words, the more labor that is required to produce a good, the more valuable it is considered to be.

This theory was first developed by classical economists such as Adam Smith and David Ricardo, and was an important part of the political and economic philosophy of socialism and communism. Today, the labor theory of value is largely seen as an outdated and incorrect economic theory, and is not widely used in mainstream economics.

Instead, modern economists often use the concept of marginal utility, which states that the value of a good is determined by the satisfaction it provides to its users and the price they are willing to pay for it. The marginal utility approach is based on the idea that consumers will choose to buy the goods and services that provide them with the most satisfaction, given the prices they face.
btc price is determined by theory?
No, the price of Bitcoin (BTC) is not determined by theory, but rather by supply and demand in the market. Like any other asset or currency, the price of Bitcoin is influenced by a variety of factors, including investor sentiment, regulatory changes, technological advancements, and overall market conditions.

Economic theory can provide some useful insights into the factors that can impact the price of Bitcoin, but it is not the sole determinant. The actual price of Bitcoin is determined by the interaction between buyers and sellers in the market, and it can fluctuate rapidly and unpredictably in response to news, events, and other developments.

It's also important to note that Bitcoin is still a relatively new and volatile asset, and its price can be highly speculative. This means that investing in Bitcoin can be risky, and it's important to carefully consider your investment goals and risk tolerance before making any decisions.
How then are cryptocurrencies taxed, e.g. as what type of investment?
As long as you are holding cryptocurrency as an investment and it isn't earning any income, you generally don't owe taxes on cryptocurrency until you sell. You can avoid taxes altogether by not selling any in a given tax year

You must report income, gain, or loss from all taxable transactions involving virtual currency on your Federal income tax return for the taxable year of the transaction, regardless of the amount or whether you receive a payee statement or information return