Leftist anarchists are against private property though and against turning a profit and individualism. We all know how this ends. Also, how do you enforce the no private property rule without a state and without a private security agency?
It is a natural thing to want to own the property you live on at least, even lions urinate on their turf to mark it as theirs. How would you start preventing humans from doing what every mammals has ever done ever?
As usually used, "private property" is a superset of "personal property", as all non-government-held (non-"public") property is " private property", including both real and personal property.
But I think you are probably using an unusual and ideologically-specific definition of "private property" that you should probably detail explicitly.
This all counts as personal property (though of course people disagree about what exactly should count as personal property). An example of private property is owning a factory that you don't personally work in, or even owning an apartment which you have never lived in and don't intend on living in. The Sauk leader Black Hawk articulated something like this idea when he said
My reason teaches me that land cannot be sold. The Great Spirit gave it to his children to live upon, and cultivate, as far as necessary for their subsistence; and so long as they occupy and cultivate it, they have the right to the soil—but if they voluntarily leave it, then any other people have a right to settle upon it. Nothing can be sold but such things as can be carried away.
Locke[1] also believed that people shouldn't be able to own things that they don't personally use or hoard resources if they are scarce.
You realize that private property is defined and enforced by a state, right? It doesn't exist until a social structure says "This is yours and we will guarantee it with force of violence if we need to".
Also i'm sure our definitions of individualism are irreconcilably different. Your individualism involves people subordinating others with violence explicit and implicit if you really think capitalism is a pro-individualism system. For me, individualism cannot be separated from collectivism.
Why would you want to build anything if anyone can come and grab it because private property is bad? My body belongs to me and so does what I build with it unless I voluntarily give it away. I don't need a state to enforce the protection of my property, I could do it myself or pay someone (a person, a private security agency or yes, a state).
> Your individualism involves people subordinating others with violence explicit and implicit if you really think capitalism is a pro-individualism system
What is capital(ism) if not the accumulation of things to build more things. In order to build anything, you need a certain capital even in a anarchy world, it could be pieces of wood, bricks, money etc. Now who is better suited to manage this capital? Everyone? Turns out, some people suck at managing capital and some people know best how to manage it because they're the ones who managed to accumulate enough in order to build this capital in the first place. Societies where capital was managed by collectives have historically not done well.
Also, I'm not for subordinating people with violence so not sure where you got this idea. I'm ok though with using force to defend your body and the property you acquired peacefully with it (because you built it or because someone agreed to give it to you).