I wonder what the correct way to intuitively understand the concepts of electrical permittivity and magnetic permeability would be.
The electric permittivity $\varepsilon$ of a medium is defined as a measure of the electric polarizability of dielectric materials in response to an applied electric field. I usually think of it as a measure of the "resistance" of a medium to the establishment of an electric field in it. According to Coulomb's law, the lower the permittivity, the greater the tolerance of the medium to be penetrated by electric field lines.
$$ \mathbf{F}(\mathbf{r})=\frac{q}{4 \pi \varepsilon_{0}} \int \mathrm{d} q^{\prime} \frac{\mathbf{r}-\mathbf{r}^{\prime}}{\left|\mathbf{r}-\mathbf{r}^{\prime}\right|^{3}} $$
As for magnetic permeability $\mu$ of a medium, it is the measure of magnetization that a material obtains in response to an applied magnetic field. According to Biot and Savart's law, it would have an analogous meaning, but in this case the permeability is proportional to the tolerance of the medium to be crossed by the magnetic field lines.
$$ \mathbf{B}(\mathbf{r})=\frac{\mu_{0}}{4 \pi} \int_{C} \frac{I d \boldsymbol{\ell} \times \mathbf{r}^{\prime}}{\left|\mathbf{r}^{\prime}\right|^{3}} $$
Are these ideas an appropriate way to intuitively understand these concepts of permittivity and permeability in Electromagnetism?