This paper presents conditions that any entanglement measure must satisfy and constructs a class of "good" entanglement measures. It also discusses the generalization of these measures to more than two particles. The authors propose a measure based on the distance between a given state and all possible disentangled states, with the minimum distance representing the amount of entanglement. This approach provides a geometrically intuitive way to quantify entanglement and has a statistical operational basis that may enable experimental determination of the degree of entanglement. The paper highlights the difficulty in determining the amount of entanglement for general mixed states, as it is not always possible to distinguish between quantum and classical correlations. It discusses various measures of entanglement, including the entanglement of creation and the von Neumann entropy, and shows how they can be generalized to provide better measures of entanglement. The authors also introduce the von Neumann relative entropy as a measure of distance between density matrices, which satisfies the necessary conditions for an entanglement measure. The paper also discusses the Bures metric as a possible distance measure for entanglement, which has a statistical operational basis and can be used to determine entanglement experimentally. The authors show that their proposed measures satisfy the three necessary conditions for entanglement measures: separability, invariance under local unitary operations, and non-increase under local general measurements and classical communication. The paper concludes that the generalization of entanglement measures to more than two particles is straightforward, and that further investigation into the relationship between purification procedures and various entanglement measures is worthwhile. The authors also emphasize the importance of finding a closed-form expression for the entanglement measure to enable further progress in quantum information theory.This paper presents conditions that any entanglement measure must satisfy and constructs a class of "good" entanglement measures. It also discusses the generalization of these measures to more than two particles. The authors propose a measure based on the distance between a given state and all possible disentangled states, with the minimum distance representing the amount of entanglement. This approach provides a geometrically intuitive way to quantify entanglement and has a statistical operational basis that may enable experimental determination of the degree of entanglement. The paper highlights the difficulty in determining the amount of entanglement for general mixed states, as it is not always possible to distinguish between quantum and classical correlations. It discusses various measures of entanglement, including the entanglement of creation and the von Neumann entropy, and shows how they can be generalized to provide better measures of entanglement. The authors also introduce the von Neumann relative entropy as a measure of distance between density matrices, which satisfies the necessary conditions for an entanglement measure. The paper also discusses the Bures metric as a possible distance measure for entanglement, which has a statistical operational basis and can be used to determine entanglement experimentally. The authors show that their proposed measures satisfy the three necessary conditions for entanglement measures: separability, invariance under local unitary operations, and non-increase under local general measurements and classical communication. The paper concludes that the generalization of entanglement measures to more than two particles is straightforward, and that further investigation into the relationship between purification procedures and various entanglement measures is worthwhile. The authors also emphasize the importance of finding a closed-form expression for the entanglement measure to enable further progress in quantum information theory.