As has been said elsewhere, anarchism means 'without rulers' and anarcho-capitalism fits this definition as it strives to remove the state, while individuals wi

As has been said elsewhere, anarchism means 'without rulers' and anarcho-capitalism fits this definition as it strives to remove the state, while individuals will retain their property rights. Private and voluntary institutions (both for-profit and non-profit) will supersede the role of the state. However, if we limit anarchism to its more historic meaning, which is anarcho-communism and related ideologies, then you'd be correct. To avoid confusion this is why ancaps are using the term 'voluntaryism' to better describe their position. Corporations wouldn't exist in an ancap society, as they rely on limited liability, meaning their executives are not legally responsible for their decisions. Such an arrangement can only exist under a state. (cf. https://www.opendemocracy.net/en/corporate_responsibilities_4605jsp/ https://www.opendemocracy.net/en/corporate_responsibilities_...) Holding directors accountable to their lenders, customers, investors, etc will strongly disincentivise the short-term mindset we see in corporations today.