What's up AspiringDoc.
Firstly, to clear things up:
- Positive electrode does mean positive. It is not an analogy or some sort of cover-up. A simplistic explanation of this is that at the anode (which is negative in galvanic cells), electrons are taken up as species undergo oxidation. The uptake of electrons produces a slight negative charge. Similarly, the cathode (which is positive in galvanic cells), is the site of reduction, such that electrons are taken from the electrode and combined with cations to yield neutral atoms. Ultimately, this loss of electrons is what creates a slight positive charge. This is a very simplistic explanation.
To answer the initial question ('what does the polarity of a cell mean'), the above user's explanation is correct in identifying that galvanic cells do not have an overall charge. They are neutral (thanks to the salt bridge). However, the above user incorrectly insinuated that electrodes lack charge: they have polarities.
I have to side with 4 year ago me on this one.
Electric forces are extremely strong; actual charge imbalances would even out very quickly. It is not physical to describe electrodes as actually having charge imbalances; after all, the flow of current is supposed to mitigate any charge imbalances. Let's look at some numbers.
By Coulomb's law, the electric attraction between a proton and an electron is given by

where k is the Coulomb constant, e is the elementary charge and r is the distance. Taking nuclear radii to be roughly

in size and using

,

in SI units, you'll find that the force is roughly 230 N. Given that charge carriers are electrons, and that the electron mass is

, we are looking at otherworldly accelerations. Even if you increase the separation to, say, 1 mm, you have a force of

, which is still an acceleration on the order of

. And this is all assuming you're missing one electron. I hope you realise just how strong electric forces are and how unrealistic it is to assume any long-term charge imbalance.
You have two electrodes, positive and negative. Suppose you had copper and zinc electrodes. Then, the zinc electrode would be negative as it is lower on the electrochemical series with a lower voltage, and the copper would be positive. The higher reduction potential for copper means that electrons are drawn to this electrode. These electrons are balanced by the oxidation occurring at the zinc electrode. At no stage is there a physical charge imbalance. That is not how electric circuits work.
You may ask, why is there a potential difference? The answer comes from the interaction between the different electronic configurations of copper and zinc, as well as having different nuclei; a proper calculation involves quantum chemistry I have not learned, and probably will not encounter.
Back with another electrochemical question
I didn’t understand lzxnl’s explanation of “what is polarity”
Could someone please explain it in a different way? I get the gist that ‘positive electrode’ doesn’t mean ‘positively charged’, because of the salt bridge, but rather it’s something to do with the charge of the ion within the electrode? Maybe?
Thanks!
So, that's what polarity is. It really is two electrodes having different affinities for electrons due to their electronic structure. Zinc, in my example, is better at getting rid of its electrons than copper, so zinc is the negative electrode ('repels' electrons, source of electrons).